A cube has a volume of 512 cubic centimetres. Determine the area of each face of the cube.

1 answer

To determine the area of each face of the cube, we first need to find the length of one of its sides. Since the volume of a cube is given by the formula V = s^3, where s is the length of its sides, we can solve for s by taking the cube root of the volume:

s = ∛512 cm^3 = 8 cm

Now that we know the length of one side of the cube is 8 cm, we can calculate the area of each of its six faces. Since each face is a square, we can use the formula for the area of a square, A = s^2:

A = 8^2 cm^2 = 64 cm^2

Therefore, the area of each face of the cube is 64 square centimetres.