Question

The area of one face of a cube is 144 cm2

.

Determine the volume of the cube.

1 720 cm3 2 864 cm3

3 1728 cm3 4 20736 cm3
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Answer 1

Step-by-step explanation:

Let each side of the cube be a cm.

Then, the lateral surface area of the cube = 4a2

∴ 4a2 = 576 ⇒ a2 = 576/4 cm2 = 144 cm2 ⇒ a = 12 cm

Volume of the cube = a3 = (12 cm)3 = 1728 cm3

Total surface area of the cube = 6a2 = 6 x 122 = 864 cm2