How to find the volume of a cube

Practice Questions

Intermediate Geometry › How to find the volume of a cube

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1

A sphere with a radius of is cut out of a cube that has a side edge of . What is the volume of the resulting shape?

2

The side length of a cube is ft.

What is the volume?

3

A sphere with a radius of is cut out of a cube that has a side length of . What is the volume of the resulting figure?

4

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

Find the volume of the figure.

5

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

Find the volume of the fgiure.

6

A cube has edges that are three times as long as those of a smaller cube. The volume of the bigger cube is how many times larger than that of the smaller cube?

7

A sphere with a radius of $\frac{2}{3}$ is cut out of a cube that has a side length of . What is the volume of the resulting figure?

8

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

Find the volume of the figure.

9

A rectangular prism with a square base is cut out of a cube as shown by the figure below.

Find the volume of the figure.

10

A cylinder is cut out of a cube as shown by the figure below.

Find the volume of the figure.

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