Solid geometry

Similar solids

Types of exercises: similar solids, scale of similar solids from the ratio of volumes or areas.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Compute the total surface area

Two similar solids have their edges in the ratio 3 : 4. The surface area of the first one is 27 cm². What is it for the second one?

2

Find the ratio of the volume of the first solid to that of the second, as a fraction

The surface areas of two similar solids are in the ratio 16 : 25 (the area of the first to the area of the second).

3

Compute the volume of the solid

Two similar solids have their edges in the ratio 1 : 2. The volume of the first one is 4 cm³. What is it for the second one?

4

Find the volume of the second solid

A solid has a surface area of 27 cm², and a solid similar to it has a surface area of 675 cm². The volume of the first solid is 3 cm³.

5

Compute the volume of the solid

Two similar solids have their edges in the ratio 9 : 2. The volume of the first one is 1458 cm³. What is it for the second one?

6

Find the ratio of corresponding lengths (such as edges or heights) of the first and the second solid, as a fraction

The volumes of two similar solids are in the ratio 64 : 27 (the volume of the first to the volume of the second).

7

Compute the volume of the solid

Two similar solids have their edges in the ratio 5 : 8. The volume of the first one is 500 cm³. What is it for the second one?

8

Find the ratio of corresponding lengths (such as edges or heights) of the first and the second solid, as a fraction

The surface areas of two similar solids are in the ratio 16 : 9 (the area of the first to the area of the second).

9

Compute the total surface area

Two similar solids have their edges in the ratio 3 : 4. The surface area of the first one is 45 cm². What is it for the second one?

10

Find the ratio of the surface area of the first solid to that of the second, as a fraction

The volumes of two similar solids are in the ratio 8 : 125 (the volume of the first to the volume of the second).

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Similar solids - exercises with solutions (Solid geometry) | PhiBoard