Year 11
Higher

Find volumes of similar shapes given corresponding lengths

Year 11
Higher

Find volumes of similar shapes given corresponding lengths

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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.

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4 Questions

Q1.
Shape A and shape B are similar. Calculate the area of shape B.
An image in a quiz
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:
An image in a quiz
eight
four
Correct answer: sixteen
two
Q4.
Triangle A and triangle B are similar. Calculate the base length of triangle B.
An image in a quiz
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.
An image in a quiz
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.
An image in a quiz
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.