Higher

Find volumes of similar shapes given corresponding lengths

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

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4 Questions

Q1.
Shape A and shape B are similar. Calculate the area of shape B.
120 cm²
144 cm²
Correct answer: 240 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
Correct answer: 125 cm²
20 cm²
25 cm²
Q3.
Complete the missing word:
eight
four
Correct answer: sixteen
two
Q4.
Triangle A and triangle B are similar. Calculate the base length of triangle B.
12 cm
Correct answer: 16 cm
24 cm
4 cm

3 Questions

Q1.
Solid A and B are similar. Work out the linear scale factor.
10
16
Correct answer: 4
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
Correct answer: 240 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.
Correct answer: Yes, Amir is correct.

Lesson appears in

UnitMaths / Enlargement and Similarity