grade 1 problem solving maths worksheets

Math Word Problem Worksheets for 1st Graders

First graders will get their first introduction to some very basic math word problems in these word problem worksheets. Each page has a few word problems along with some easy first grade problems to answer. If your students are having trouble solving addition and subtraction word problems, these worksheets will help get the practice they need.

1st Grade Math Worksheets

First graders can complete a series of engaging worksheets and activities that will help them develop the math skills they need to achieve success in today’s standards-based education system.

Free printable math worksheets aligned to 1st grade Common Core standards.

These easy-to-use worksheets are aligned to the Common Core state standards for mathematics. They are perfect for teachers and parents who are looking for creative ways to teach new concepts or review what students have learned. No registration is required, so you can download and print them instantly.

Get all 181 1st grade math worksheets instantly.

Get 181 first grade math worksheets that cover number sense, operations and algebraic thinking, measurement, and geometry.

Printing a worksheet is so easy! There are multiple ways to get each one.

Get the best printing results by downloading our high-resolution PDF files. Select the first button labeled Download PDF , which will start downloading the math worksheet instantly in most web browsers. Then open the file and print it in any free or professional PDF viewer.

If you want to see what the PDF version of the math worksheet looks like before downloading it, select the second button labeled View PDF , which will open the PDF worksheet in your web browser.

You can also get each math worksheet by printing the image you see on your screen. Select the third button labeled Print Image , which will allow you to instantly print each worksheet on any printer that your computer or mobile device has available.

The fastest and easiest way to print all 181 math worksheets for first grade is by getting our Premium 1st Grade Math Worksheets Collection . This collection includes several PDF files that allow you to print each section all at once.

Grade 1 Word Problems

Grade 1 word problems to help your students apply their understanding in maths. Word problems are the perfect test for children. It’s one thing being able to solve equations, but it’s a whole new level when you can apply your understanding in real world situations. Use these addition and subtraction word problem worksheets to help your students practice. They even get to draw math pictures!  Simply click on the images below to download. To keep up to date with quality resources, follow my TpT store!

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Word problems.

Mental Maths!

Need mental maths worksheets? Check out these resources. They’re a great wat to get your students working on mental maths daily. No prep needed, just print and go!

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First grade word problems worksheets.

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1st Grade Math Worksheets

Aligned to Common Core standards, these free printable worksheets cover a growing list of math skills taught in first grade – with more on the way!

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Addition Worksheets

Help students build a solid foundation in key addition skills, number lines & place value worksheets, help your students master adding numbers through place value and on a number line, telling time worksheets, help your first graders read analog and digital clocks, and tell the time to the nearest hour and half hour.

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Frequently Asked Questions

Are these worksheets really free.

Yes, these printable math worksheets are free.

At Prodigy, we believe teachers should never be held back by budgets. That's why we made Prodigy Math , to help every student love learning and have access to engaging, educational content.

Are there answer keys available for these worksheets?

Yes, answer keys are included when you download our free math worksheets. You can print this for your reference while your students complete the activity on the worksheet or have it ready to review with them afterwards.

Are these worksheets aligned with Common Core standards?

Yes, like Prodigy Math , our worksheets are designed to align with Common Core standards. 

Get a quick refresher of our math curriculum standards here.

Do I need to create an account to download these worksheets?

No account is needed to access these free math worksheets.

Will there be more worksheet topics for first grade?

Yes, we will be adding more topics to our library of math worksheets for 1st grade, including skip counting worksheets, number charts, subtraction worksheets and basic 2D shape practice. Check back for more soon!

Looking to dive right into standards-aligned content? Use Prodigy! Not only does it make practicing math skills really engaging for your students but you can also easily tailor math content to your teaching and student needs. And the best bit? It’s available at no cost to educators!

How can I use these worksheets in my classroom?

As an educator, there are several ways you can use these worksheets in your classroom:

1. Practice Material: After teaching a specific concept, such as single-digit addition or place value, you can use these worksheets as practice material to reinforce what students have been taught in class.

2. Assessments: You can use these worksheets to assess students' understanding of the topics you've taught. The variety of exercises, including word problems and numeric problems, can help gauge students' grasp of the material.

3. Homework Assignments: These worksheets can be assigned as homework to give students additional practice outside of the classroom. They can help fill in the gap from regular workbooks.

4. Centers or Stations: In a classroom that uses a centers or stations approach, these worksheets could be used at a math center where students rotate through different activities.

5. Early Finisher Activity: For students who finish their work early, these worksheets can provide an additional challenge and keep them engaged.

6. Group Work: Some worksheets could be used for pair or small group work, promoting collaborative problem-solving skills.

Remember, it's important to go through the worksheets with the students after they've completed them, or provide them with the answer keys, to ensure they understand any mistakes they might have made.

What math skills should I teach my first grade class?

The skills you teach your first graders will depend on your curriculum and their individual learning needs.

Generally, students should learn basic arithmetic operations within 20, understand numbers up to 120, tell time using both analog and digital clocks, interpret simple data, and understand basic geometric concepts including shape attributes and partitioning.

If you’re following the Common Core curriculum , you will want to cover the following standards:

Operations and Algebraic Thinking:

• Using basic addition and subtraction within 20 to solve a variety of word problems, including those involving putting together or taking apart numbers, comparisons, and unknowns in all positions. This can be achieved using visual aids like objects and drawings, or equations with symbols for unknown numbers.
• Solving word-based math problems involving the addition of three whole numbers whose total is less than or equal to 20.
• Applying properties of operations as strategies for addition and subtraction.
• Understanding subtraction as a problem of finding an unknown addend.
• Relating the process of counting to the concepts of addition and subtraction.
• Adding and subtracting numbers within 20 fluently, and applying strategies such as counting on, making ten, decomposing numbers, using the relationship between addition and subtraction, and creating equivalent but easier or known sums for ease of calculation.
• Understanding the meaning of the equal sign and being able to determine if addition and subtraction equations are true or false.
• Determining the unknown whole number in equations involving the addition or subtraction of three whole numbers.

Number and Operations in Base Ten:

• Counting up to 120, starting from any number less than 120. This also involves reading and writing numerals within this range and representing a number of objects with a written numeral.
• Understanding that a two-digit number is composed of tens and ones.
• Comparing two two-digit numbers based on the meaning of the tens and ones digits. This involves using the symbols '>', '=', and '<' to record the results of comparisons.
• Adding within 100, including adding a two-digit number to a one-digit number, and a two-digit number to a multiple of 10. This involves using concrete models or drawings, strategies based on place value, and properties of operations. Students are also expected to relate their strategies to a written method and explain their reasoning. It includes understanding that when adding two-digit numbers, one adds tens to tens and ones to ones, and occasionally it may be necessary to compose a ten.
• Given a two-digit number, mentally finding 10 more or 10 less than the number without having to count, and being able to explain the reasoning behind it.
• Subtracting multiples of 10 (ranging from 10 to 90) from other multiples of 10 in the same range. This is done using concrete models or drawings and strategies based on place value and operations. Students should relate their strategy to a written method and explain their reasoning used.

Measurement & Data: 

• Telling and writing time in hours and half-hours using both analog and digital clocks.
• Organizing, representing, and interpreting data with up to three categories. This involves asking and answering questions about the total number of data points, the number of data points in each category, and comparing the number of data points between different categories.
• Distinguishing between defining attributes (like triangles being closed and three-sided) versus non-defining attributes (such as color, orientation, or size). This includes building and drawing shapes with defining attributes.
• Partitioning circles and rectangles into two and four equal shares and describing these shares using terms like halves, fourths, and quarters. Also, understanding that decomposing a shape into more equal shares results in smaller shares. This includes the ability to describe the whole shape as two or four of these shares.

What is Prodigy?

Great question! Unlike traditional worksheets, Prodigy is a game-based learning platform that delivers differentiated, standards-aligned content through engaging, interactive gameplay.

With Prodigy, educators can :

• Assign standards-aligned content with no grading needed.
• Motivate your students with in-game rewards and challenges.
• Access reports filled with learning insights from a student, class and curriculum level.

Best of all? Educators can use it for free! See how it works here!

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1st Grade Addition Word Problems Up to 20

Welcome to our 1st Grade Addition Word Problems Worksheets. Here you will find a wide range of free printable addition Worksheets, which will help your child practice solving a range of addition problems using numbers with a sum of up to 20.

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1st Grade Addition Word Problems

Addition problems with a sum of up to 20.

Each sheet consists of adding two or three numbers with a total of up to 10, 15 or 20.

There is a space on each sheet for working out, using whichever method you wish your child to use.

There are also UK versions of some of the worksheets which use pounds (£) instead of dollars($).

Using these sheets will help your child to:

• recognise addition word problems;
• add with numbers up to 10, 15 or 20.

Quicklinks to ...

• Addition Word Problems up to 10
• Addition Word Problems up to 15
• Addition Word Problems up to 20
• Easier/Harder Addition Worksheets
• More related resources
• Addition Word Problems up to 20 Online Quiz

1st Grade Addition Word Problems up to 10

• Addition Word Problems to 10 Sheet 1
• PDF version
• Addition Word Problems to 10 Sheet 2

This sheets has word problems with 3 addends.

• Addition Word Problems to 10 Sheet 3

1st Grade Addition Word Problems up to 15

• Addition Word Problems to 15 Sheet 1
• Addition Word Problems to 15 Sheet 2
• Addition Word Problems to 15 Sheet 3

First Grade Addition Word Problems up to 20

• Addition Word Problems to 20 Sheet 1
• UK Version Sheet 1
• UK PDF version
• Addition Word Problems to 20 Sheet 2
• UK Version Sheet 2
• Addition Word Problems to 20 Sheet 3
• UK Version Sheet 3

Looking for some easier worksheets?

Take a look at our Addition sentences to 12.

On this page, your child will learn to work out basic addition sums up to 12 by counting objects.

• Addition Sentences to 12

Looking for some harder worksheets?

Take a look at our 1st Grade Addition facts Worksheets page with numbers up to 12+12.

On this page, your child will learn to work out basic addition sums to 12+12.

• Addition Facts to 20 Worksheets

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

First Grade Place Value & Counting Worksheets

Here you will find a range of Free Printable First Grade Place Value games.

Using these sheets will help your child learn to:

• understand place value to 100.
• Math Place Value Worksheets Tens and Ones
• Basic Math Worksheets - Ordering 2-digit numbers
• Greater than Less than Worksheets - up to 2 digit numbers
• Printable Counting Worksheets to 50
• 1st Grade Math Worksheets Counting by 1s and 10s

More First Grade Addition Worksheets

Here you will find some more of our 1st Grade Addition Worksheets.

• Number Bonds to 10 and 12
• Addition Fact Practice to 12
• Adding tens
• 2 Digit Addition Without Regrouping
• 2 Digit Addition Worksheets With Regrouping
• Free Addition Worksheets (randomly generated)

1st Grade Math Word Problems

Here you will find a range of math word problems aimed at first grade level. Each problem sheet is based on an interesting theme such as parties or the seaside.

Using these first grade math worksheets will help your child to:

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.

All the math problem sheets in this section support Elementary math benchmarks.

• Math Problems for Children 1st Grade
• 1st Grade Subtraction Word Problems
• 1st Grade Addition and Subtraction Problems

Longer Math Problems

• First Grade Math Problems

Addition Word Problems to 20 Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at solving addition word problems within 20.

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Word Problems Activities for 1st Grade

Strengthen your child's word problems skills with interactive educational resources for word problems for 1st graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 1st grader master this concept by engaging their critical thinking.

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Addition and Subtraction Word Problems

Solve Count On Scenarios Game

Begin the exciting journey of becoming a math wizard by learning how to solve count on scenarios.

Represent 'Add To' Scenarios Game

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Choose the Correct Operation— Add or Subtract Worksheet

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1st Grade Math Worksheets: Addition

Grade 1 addition worksheets.

These math worksheets start with simple addition using pictures or number lines followed by one-digit math facts and then progress through number bonds, adding doubles, missing addends, adding whole tens and adding in columns. No regrouping is included in our grade 1 exercises.

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Free Printable Solving Equations Worksheets for 1st Grade

Solving Equations just got more exciting for Grade 1 students! Discover our collection of Free Printable Math Worksheets, carefully crafted by Quizizz to enhance learning and build a strong foundation in mathematics.

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Explore printable Solving Equations worksheets for 1st Grade

Solving Equations worksheets for Grade 1 are an essential tool for teachers looking to introduce their students to the world of Math and Algebra. These worksheets are specifically designed to help young learners grasp the concept of One-Variable Equations in a fun and engaging manner. By incorporating a variety of exercises and problems, these worksheets enable teachers to provide a comprehensive learning experience for their Grade 1 students. From simple addition and subtraction problems to more complex equations, these worksheets cover a wide range of topics that are crucial for building a strong foundation in Math and Algebra. Moreover, the use of visually appealing graphics and illustrations helps to keep the students interested and motivated. Solving Equations worksheets for Grade 1 are an indispensable resource for teachers who want to ensure their students excel in this critical subject area.

Quizizz is an excellent platform that offers a plethora of resources, including Solving Equations worksheets for Grade 1, to help teachers create an interactive and engaging learning environment for their students. With Quizizz, teachers can access a vast library of pre-made quizzes and worksheets, covering various topics in Math, Algebra, and One-Variable Equations. These resources are designed to cater to the unique learning needs of Grade 1 students, ensuring that they grasp the concepts effectively. Additionally, Quizizz allows teachers to track their students' progress and performance, enabling them to identify areas that require improvement and tailor their teaching methods accordingly. The platform also offers various game-based learning activities, which can be used to reinforce the concepts taught through the worksheets. By incorporating Quizizz into their teaching arsenal, teachers can ensure that their Grade 1 students develop a strong foundation in Math and Algebra, setting them up for success in their academic journey.

10 Helpful Worksheet Ideas for Primary School Math Lessons

M athematics is a fundamental subject that shapes the way children think and analyze the world. At the primary school level, laying a strong foundation is crucial. While hands-on activities, digital tools, and interactive discussions play significant roles in learning, worksheets remain an essential tool for reinforcing concepts, practicing skills, and assessing understanding. Here’s a look at some helpful worksheets for primary school math lessons.

Comparison Chart Worksheets

Comparison charts provide a visual means for primary school students to grasp relationships between numbers or concepts. They are easy to make at www.storyboardthat.com/create/comparison-chart-template , and here is how they can be used:

• Quantity Comparison: Charts might display two sets, like apples vs. bananas, prompting students to determine which set is larger.
• Attribute Comparison: These compare attributes, such as different shapes detailing their number of sides and characteristics.
• Number Line Comparisons: These help students understand number magnitude by placing numbers on a line to visualize their relative sizes.
• Venn Diagrams: Introduced in later primary grades, these diagrams help students compare and contrast two sets of items or concepts.
• Weather Charts: By comparing weather on different days, students can learn about temperature fluctuations and patterns.

Number Recognition and Counting Worksheets

For young learners, recognizing numbers and counting is the first step into the world of mathematics. Worksheets can offer:

• Number Tracing: Allows students to familiarize themselves with how each number is formed.
• Count and Circle: Images are presented, and students have to count and circle the correct number.
• Missing Numbers: Sequences with missing numbers that students must fill in to practice counting forward and backward.

Basic Arithmetic Worksheets

Once students are familiar with numbers, they can start simple arithmetic. 

• Addition and Subtraction within 10 or 20: Using visual aids like number lines, counters, or pictures can be beneficial.
• Word Problems: Simple real-life scenarios can help students relate math to their daily lives.
• Skip Counting: Worksheets focused on counting by 2s, 5s, or 10s.

Geometry and Shape Worksheets

Geometry offers a wonderful opportunity to relate math to the tangible world.

• Shape Identification: Recognizing and naming basic shapes such as squares, circles, triangles, etc.
• Comparing Shapes: Worksheets that help students identify differences and similarities between shapes.
• Pattern Recognition: Repeating shapes in patterns and asking students to determine the next shape in the sequence.

Measurement Worksheets

Measurement is another area where real-life application and math converge.

• Length and Height: Comparing two or more objects and determining which is longer or shorter.
• Weight: Lighter vs. heavier worksheets using balancing scales as visuals.
• Time: Reading clocks, days of the week, and understanding the calendar.

Data Handling Worksheets

Even at a primary level, students can start to understand basic data representation.

• Tally Marks: Using tally marks to represent data and counting them.
• Simple Bar Graphs: Interpreting and drawing bar graphs based on given data.
• Pictographs: Using pictures to represent data, which can be both fun and informative.

Place Value Worksheets

Understanding the value of each digit in a number is fundamental in primary math.

• Identifying Place Values: Recognizing units, tens, hundreds, etc., in a given number.
• Expanding Numbers: Breaking down numbers into their place value components, such as understanding 243 as 200 + 40 + 3.
• Comparing Numbers: Using greater than, less than, or equal to symbols to compare two numbers based on their place values.

Fraction Worksheets

Simple fraction concepts can be introduced at the primary level.

• Identifying Fractions: Recognizing half, quarter, third, etc., of shapes or sets.
• Comparing Fractions: Using visual aids like pie charts or shaded drawings to compare fractions.
• Simple Fraction Addition: Adding fractions with the same denominator using visual aids.

Money and Real-Life Application Worksheets

Understanding money is both practical and a great way to apply arithmetic.

• Identifying Coins and Notes: Recognizing different denominations.
• Simple Transactions: Calculating change, adding up costs, or determining if there’s enough money to buy certain items.
• Word Problems with Money: Real-life scenarios involving buying, selling, and saving.

Logic and Problem-Solving Worksheets

Even young students can hone their problem-solving skills with appropriate challenges.

• Sequences and Patterns: Predicting the next item in a sequence or recognizing a pattern.
• Logical Reasoning: Simple puzzles or riddles that require students to think critically.
• Story Problems: Reading a short story and solving a math-related problem based on the context.

Worksheets allow students to practice at their own pace, offer teachers a tool for assessment, and provide parents with a glimpse into their child’s learning progression. While digital tools and interactive activities are gaining prominence in education, the significance of worksheets remains undiminished. They are versatile and accessible and, when designed creatively, can make math engaging and fun for young learners.

The post 10 Helpful Worksheet Ideas for Primary School Math Lessons appeared first on Mom and More .

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Volume of a triangular prism

Here you will learn about the volume of a triangular prism, including how to calculate the volume and how to find a missing length given the volume.

Students will first learn about the volume of a triangular prism as part of geometry in 7 th grade.

What is the volume of a triangular prism?

The volume of a triangular prism is how much space there is inside a triangular prism. A triangular prism is a polyhedron (3D shape made from polygons) with two congruent triangular ends connected by three rectangles.

To find this, find the area of the triangular base (cross section) and multiply it by the length.

For example,

Area of triangular cross-section:

Volume of triangular prism:

Volume is measured in cubic units (for example, \mathrm{mm}^3, \mathrm{~cm}^3, \mathrm{~m}^3 etc).

Calculating a missing length

Sometimes you might be given the volume and some of the measurements of a triangular prism and need to find the other measurements.

This can be done by substituting the values that are known into the volume of a triangular prism formula and solving the equation that is formed.

The volume of this triangular prism is 105 \mathrm{~cm}^3. Find the length, x, of the triangular prism.

You will still use the following formula,

First, calculate the area of the triangular cross-section and substitute everything into the volume of a triangular prism formula, then solve.

Common Core State Standards

How does this relate to 7 th grade math?

• Grade 7: Geometry (7.G.B.6) Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

[FREE] Volume Worksheet (Grade 6 to 8)

Use this quiz to check your grade 6 to 8 students’ understanding of volume. 10+ questions with answers covering a range of 6th, 7th and 8th grade volume topics to identify areas of strength and support!

How to calculate the volume of a triangular prism

In order to calculate the volume of a triangular prism:

Write down the formula.

Calculate the area of the triangular cross-section and substitute the values.

Solve the equation.

Write the answer, including the units.

Volume of a triangular prism examples

Example 1: volume of a triangular prism.

Find the volume of this triangular prism.

2 Calculate the area of the triangular cross-section and substitute the values.

The base of the triangle is 2 \mathrm{~in} and the height of the triangle is 3 \mathrm{~in}.

The area of the triangle is 3 \mathrm{~in}^2.

The length of the prism is 7 \mathrm{~in}.

3 Solve the equation.

4 Write the answer, including the units.

The measurements on this triangular prism are in inches, so the volume will be measured in cubic inches.

Example 2: triangular prism with isosceles triangle

Find the volume of the triangular prism.

\text{Volume of a triangular prism} = \text{Area of triangular cross section} \times \text{length}

\text{Volume of a triangular prism} = 20 \times 18

The measurements on this triangular prism are in mm, so the volume will be measured in \mathrm{~mm}^3.

\text { Volume }=360 \mathrm{~mm}^3

Example 3: different units

This time, the triangular prism is the other way up, so start by calculating the area of the base. There are some measurements in both m and cm here, so you will need to make the units the same before you begin solving. The easiest thing to do in this example is to convert 0.1 \mathrm{~m} to 10 \mathrm{~cm}.

Since the triangular prism is the other way up, the length that we need to multiply by is the height of the prism, 21 \mathrm{~cm}.

\text{Volume of a triangular prism } = 50 \times 21

The measurements that are used for this triangular prism are in cm, so the volume will be measured in \mathrm{~cm}^3.

\text { Volume }=1050 \mathrm{~cm}^3

How to find a missing length given the volume

Calculate the area of the triangular cross-section and substitute everything into the volume of a triangular prism formula.

Missing length examples

Example 4: finding a missing length.

The volume of this triangular prism is 168 \mathrm{~cm}^3. Find the length, x, of the triangular prism.

168=21 \times x

Example 5: finding a missing height

The volume of this triangular prism is 80 \mathrm{~mm}^3. Find the height of the prism.

Example 6: finding a missing base, different units

The volume of this triangular prism is 440 \mathrm{~mm}^2. Find the length labeled y.

Notice here that you need to work in mm since the volume is in mm^{3}. Therefore you need to convert 2 \mathrm{~cm} to 20 \mathrm{~mm}.

Teaching tips for volume of a triangular prism

• Find different representations to use during instruction to appeal to all the different learning styles in your classroom. This includes diagrams, equations and verbal cues.
• Find technology tools to incorporate in teaching, including interactive whiteboards and interactive manipulatives.
• Make sure that triangular prism volume worksheets have a variety of problem types to challenge students and reinforce understanding.

Easy mistakes to make

• Missing units or using incorrect units You should always include units in your answer. Volume is measured in units cubed ( \mathrm{mm}^3, \mathrm{~cm}^3, \mathrm{~m}^3 etc).
• Calculating with different units You need to make sure all measurements are in the same units before calculating volume. Example, you can’t have some in cm and some in m.
• Using the wrong formula Be careful to apply the correct prism related formula to the correct question type.

Related volume lessons

• Volume of a cube
• Volume of a rectangular prism
• Volume of a prism
• Volume of a pyramid
• Volume of a square pyramid
• Volume of a cylinder
• Volume of a hemisphere
• Volume of a sphere
• Volume of a cone

Practice volume of a triangular prism questions

1. Find the volume of the triangular prism.

2. Find the volume of the triangular prism.

3. Find the volume of the triangular prism.

Notice that one of the measurements is in mm and the others are in cm. Change 1.4 \mathrm{~cm} to 14 \mathrm{~mm} and 2.2 \mathrm{~cm} to 22 \mathrm{~mm}.

4. The volume of this right triangular prism is 84\mathrm{~cm}^{3}.  Find the length, x, of the triangular prism.

The length is 7 \mathrm{~cm}.

5. The volume of this triangular prism is 405\mathrm{~m}^{3}. Find the height of the triangular prism.

The height is 9 \mathrm{~m}. 

6. The volume of this triangular prism is 45\mathrm{~cm}^{3}

Find the length of y.

Notice that the height of the triangular prism is in mm , however the volume is in cm^3. Therefore, you need to change 45 \mathrm{~mm} to 4.5 \mathrm{~cm}.

The length of y is 5 \mathrm{~cm}.

Volume of a triangular prism FAQs

A triangular prism is a 3D shape with triangular bases and rectangular faces or sides with 9 vertices. A rectangular prism is a 3D shape with 6 rectangular sides or faces that meet at right angles with 8 vertices.

In a triangular prism, the bases must be identical triangles, which ensures that the prism has a uniform cross-section throughout its length.

Heron’s formula is a formula used to find the area of a triangle in terms of the length of its sides. It can be applied to any type of triangle, including equilateral triangles. Heron’s formula is A=\sqrt{s(s-a)(s-b)(s-c)}

The next lessons are

• Surface area
• Pythagorean Theorem
• Trigonometry

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