Higher

Higher

# Find volumes of similar shapes given corresponding lengths

## Lesson details

### Key learning points

1. In this lesson, we will use the linear scale factor to calculate the volume scale factor and find the volume of similar shapes.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 4 Questions

Q1.
Shape A and shape B are similar. Calculate the area of shape B.
120 cm²
144 cm²
30 cm²
Q2.
Two similar triangles have heights of 2 cm and 10 cm. The area of the smaller triangle is 5 cm². Calculate the area of the larger triangle.
10 cm²
20 cm²
25 cm²
Q3.
Complete the missing word:
eight
four
two
Q4.
Triangle A and triangle B are similar. Calculate the base length of triangle B.
12 cm
24 cm
4 cm

## Exit quiz

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### 3 Questions

Q1.
Solid A and B are similar. Work out the linear scale factor.
10
16
6
Q2.
Solid A and B are similar. Solid A has a volume of 30 cm³. Work out the volume of solid B.
120 cm³