Find the volume of a frustum

In this lesson, we will learn how to find the volume of a frustum. We will model the formulae required, and investigate the frustum of a cone and a square based pyramid.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?

1/3

Q2.The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.

2/3

Q3.The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?

1/3

Q2.The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.

2/3

Q3.The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

3/3

Video

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Find the volume of a frustum

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which shape shows a frustum?

1/3

Q2.Work out the volume of the frustum. Round your answer to 1 decimal place.

2/3

Q3.Work out the volume of the frustum. Round your answer to 1 decimal place.

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Find the volume of a frustum

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which shape shows a frustum?

1/3

Q2.Work out the volume of the frustum. Round your answer to 1 decimal place.

2/3

Q3.Work out the volume of the frustum. Round your answer to 1 decimal place.

3/3

Lesson summary: Find the volume of a frustum

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