Cubes

Practice Questions

Intermediate Geometry › Cubes

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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

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?

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

The side length of a cube is ft.

What is the volume?

5

If the surface area of a cube is , find the length of one side of the cube.

6

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?

7

If the surface area of a cube is , find the length of one side of the cube.

8

The side length of a cube is ft.

What is the volume?

9

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

2

Find the volume of the figure.

10

Find the diagonal of a cube with a side length of .

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