Mathematics Grade 8 15 min

Volume and surface area of similar solids

Volume and surface area of similar solids

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1

Two similar cubes have side lengths of 2 and 3. What is the ratio of their surface areas?

2

Two similar cones have heights of 1 and 4. What is the ratio of their volumes?

3

Two similar cylinders have radii of 3 and 2. The larger cylinder has a volume of 54. What is the smaller cylinder's volume?

Sample Practice Questions

Easy
Two similar pyramids have heights of 1 and 4. What is the ratio of their surface areas?
0.1:4
1.1:8
2.1:16
3.1:64
Easy
Two similar spheres have radii of 2 and 5. What is the ratio of their surface areas?
0.2:5
1.4:25
2.8:125
3.4:10
Easy
Two similar solids have a side length ratio of 1:3. What is the ratio of their volumes?
0.1:3
1.1:6
2.1:9
3.1:27

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