Higher

# Find volumes of similar shapes given corresponding lengths

Higher

# Find volumes of similar shapes given corresponding lengths

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## Lesson details

### Key learning points

- 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.

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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

### 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

60 cm³

810 cm³

Q3.

There are two similar solids X and Y. Amir says that if Y has a side length double that of the corresponding side on solid X then the volume of the solid Y will be 8 times larger than X. Is Amir correct?

No, Amir is incorrect.