Question

If the volume of a cube is 125 cubic feet, what will happen to the volume if each side is increased by 5 feet?
Answer Options with 5 options
A.
volume will increase by 15
B.
volume will be 5 times greater
C.
volume will be 8 times greater
D.
volume will increase by 60
E.
volume will be 2 times greater

Answer 1

If each side of the cube increases by 5 ft, the: C. volume will be 8 times greater.

What is the Volume of a Cube?

Volume of a cube = (side length)³.

The cube with the volume of 125 cubic ft will have a side length of:

∛125 = 5 ft.

If the side is increased by 5 ft, the new sdie length would be: 5 + 5 = 10 ft.

Volume of the new cube = 10³ = 1,000 cubic ft.

New volume/old volume = 1000/125 = 8.

This means that: C. volume will be 8 times greater.

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