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
- 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.