# 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.

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

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

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

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

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

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Dance