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What is the volume of a cube if the perimeter of one face of the cube is 40 cm?
Question

What is the volume of a cube if the perimeter of one face of the cube is 40 cm?

A.

1000 cm³

B.

820 cm³

C.

600 cm³

D.

800 cm³

Correct option is A

Given:
Perimeter of one face of the cube = 40 cm
Formula Used:
Side of cube = a units
Perimeter of cube = 4a units
Volume of cube = a3 cubic units
Solution:
Let the side of a cube = a cm
Perimeter of one face of the cube = 40 cm
4a = 40
a = 10 cm
Volume of the cube = a3 = 103 = 1000 cm³

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