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.

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.

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.

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.

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.

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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