Subjects

Maths

Geometry & measures

Perimeter, area, volume

Corbettmaths Volume of Prism Questions and Answers PDF for GCSE

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Corbettmaths Volume of Prism Questions and Answers PDF for GCSE

jessie

@jessie_mglx

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The Corbettmaths volume of prism questions pdf provides a comprehensive guide to calculating the volume of various prisms. This exam-style worksheet covers cuboids, cubes, triangular prisms, cylinders, and more complex shapes. It offers step-by-step solutions and emphasizes the importance of showing workings.

• The document contains 22 pages of practice questions and solutions
• It covers a range of prism types, from simple cubes to more complex shapes
• Each question includes clear diagrams and dimensions
• Solutions are provided with detailed calculations
• The worksheet is designed to prepare students for exam-style questions on prism volumes

15/10/2022

493

Complex Prism Volume Calculation

This page presents a more challenging prism volume calculation, requiring students to determine the cross-sectional area of an irregular shape before calculating the volume. The question tests students' ability to break down complex shapes into manageable components.

Highlight: This question emphasizes the importance of identifying the cross-sectional area in prism volume calculations.

The solution demonstrates how to calculate the areas of a rectangle and a triangle separately, then combine them to find the total cross-sectional area before multiplying by the prism's length.

Exam Style Questions: Volume of a Prism

This page introduces the Corbettmaths Volume worksheet and provides essential guidance for students. The document is designed to help students practice calculating the volume of various prisms in an exam-style format.

Highlight: The worksheet emphasizes the importance of reading each question carefully, attempting every question, and always showing workings.

The page also includes information on required materials and references the corresponding video lesson for additional support.

Vocabulary: Prism - A solid object with identical ends and flat sides.

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Triangular Prism Volume

This page focuses on calculating the volume of a triangular prism, reinforcing the concept introduced earlier. The question provides an opportunity for students to practice applying the formula for triangular prism volume.

Definition: Triangular Prism - A three-dimensional figure with triangular bases and rectangular faces.

The solution clearly shows the step-by-step process of calculating the area of the triangular base and then multiplying by the prism's length to determine the volume.

View

Cuboid and Cube Volume Calculations

This page presents two fundamental volume calculation questions focusing on cuboids and cubes. These questions serve as an introduction to basic prism volume calculations.

Example: For a cuboid with dimensions 2cm x 3cm x 9cm, the volume is calculated as V = 2 x 3 x 9 = 54cm³.

Definition: Volume - The amount of three-dimensional space occupied by an object.

The solutions demonstrate the straightforward multiplication of length, width, and height for both shapes, reinforcing the basic principle of prism volume calculation.

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Prism Length Calculation

This page presents a reverse problem where students are given the volume and cross-sectional area of a trapezoid prism and must calculate its length. This question tests students' ability to manipulate the volume formula.

Highlight: This question emphasizes the relationship between volume, cross-sectional area, and length in prisms.

The solution demonstrates how to use the formula V = Ah, where V is volume, A is cross-sectional area, and h is height (length in this case), to solve for the unknown length.

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Cylindrical Can Volume Calculation

This page introduces a real-world application of prism volume calculations by asking students to determine the volume of a cylindrical can of baked beans. This question bridges the gap between abstract mathematical concepts and practical applications.

Vocabulary: Cylinder - A three-dimensional solid with straight parallel sides and circular or oval ends.

The solution demonstrates how to apply the formula for cylinder volume, V = πr²h, using the given dimensions of the can. This question helps students understand the relevance of volume calculations in everyday life.

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Trapezoid Prism Volume Calculation

This page introduces a more complex prism shape - a trapezoid prism. This question challenges students to apply their knowledge of area calculations for trapezoids before determining the prism's volume.

Vocabulary: Trapezoid - A quadrilateral with at least one pair of parallel sides.

The solution demonstrates how to calculate the area of the trapezoidal base using the formula A = 1/2(a+b)h, where a and b are the parallel sides and h is the height. This area is then multiplied by the prism's length to find the volume.

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Cylinder Volume in Terms of Pi

The final page introduces a cylinder volume calculation where the answer must be expressed in terms of π. This question challenges students to work with symbolic representations and understand the role of π in cylinder volume calculations.

Example: For a cylinder with radius 2cm and height 9cm, the volume is calculated as V = π x 2² x 9 = 36π cm³.

The solution demonstrates how to apply the cylinder volume formula V = πr²h and leave the final answer in terms of π, reinforcing the concept of exact answers in mathematics.

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Triangular Prism with Decimal Dimensions

This page presents a triangular prism volume calculation involving decimal dimensions. This question tests students' ability to work accurately with non-integer values and reinforces the importance of precision in calculations.

Highlight: Working with decimal dimensions requires careful attention to detail and proper use of calculators.

The solution shows the step-by-step process of calculating the area of the triangular base using decimal values and then multiplying by the prism's length to find the volume.

View

Triangular Prism and Cross-Sectional Area

This page introduces more complex prism shapes, including a triangular prism and a prism with a given cross-sectional area. These questions require students to apply their understanding of area calculations before determining the volume.

Example: For a triangular prism with base 5cm, height 4cm, and length 12cm, the volume is calculated as V = (1/2 x 5 x 4) x 12 = 120cm³.

The solutions demonstrate how to calculate the area of the triangular base and then multiply by the prism's length to find the volume. This page helps students transition from basic cuboid calculations to more complex prism shapes.

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Parallelogram Prism Volume Calculation

This page focuses on calculating the volume of a prism with a parallelogram cross-section. This question tests students' understanding of parallelogram area calculations and their ability to apply this knowledge to prism volume.

Definition: Parallelogram - A quadrilateral with opposite sides parallel and equal.

The solution shows how to calculate the area of the parallelogram base by multiplying its base and height, then multiplying this area by the prism's length to determine the volume.

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Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 11 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Geometry & measures

Perimeter, area, volume

Corbettmaths Volume of Prism Questions and Answers PDF for GCSE

jessie

@jessie_mglx

1 Follower

15/10/2022

493

8/9

Maths

Complex Prism Volume Calculation

Highlight: This question emphasizes the importance of identifying the cross-sectional area in prism volume calculations.

The solution demonstrates how to calculate the areas of a rectangle and a triangle separately, then combine them to find the total cross-sectional area before multiplying by the prism's length.

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Exam Style Questions: Volume of a Prism

Highlight: The worksheet emphasizes the importance of reading each question carefully, attempting every question, and always showing workings.

The page also includes information on required materials and references the corresponding video lesson for additional support.

Vocabulary: Prism - A solid object with identical ends and flat sides.

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Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Triangular Prism Volume

Definition: Triangular Prism - A three-dimensional figure with triangular bases and rectangular faces.

The solution clearly shows the step-by-step process of calculating the area of the triangular base and then multiplying by the prism's length to determine the volume.

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Cuboid and Cube Volume Calculations

This page presents two fundamental volume calculation questions focusing on cuboids and cubes. These questions serve as an introduction to basic prism volume calculations.

Example: For a cuboid with dimensions 2cm x 3cm x 9cm, the volume is calculated as V = 2 x 3 x 9 = 54cm³.

Definition: Volume - The amount of three-dimensional space occupied by an object.

The solutions demonstrate the straightforward multiplication of length, width, and height for both shapes, reinforcing the basic principle of prism volume calculation.

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Prism Length Calculation

Highlight: This question emphasizes the relationship between volume, cross-sectional area, and length in prisms.

Example: For a cylinder with radius 2cm and height 9cm, the volume is calculated as V = π x 2² x 9 = 36π cm³.

The solution demonstrates how to apply the cylinder volume formula V = πr²h and leave the final answer in terms of π, reinforcing the concept of exact answers in mathematics.

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Triangular Prism with Decimal Dimensions

Highlight: Working with decimal dimensions requires careful attention to detail and proper use of calculators.

The solution shows the step-by-step process of calculating the area of the triangular base using decimal values and then multiplying by the prism's length to find the volume.