Question

A cube has a volume of
512

inches cubed
.
What is the surface area of the cube?

Answer 1

To find the surface area of the cube, we first need to find the length of one side of the cube. Since the volume of the cube is 512 inches cubed, we can use the formula for the volume of a cube:

Volume = side length^3

512 = side length^3
Taking the cube root of both sides, we get:
side length = 8

Now that we know the side length is 8 inches, we can calculate the surface area of the cube using the formula:

Surface Area = 6 * (side length)^2
Surface Area = 6 * (8)^2
Surface Area = 6 * 64
Surface Area = 384 square inches

Therefore, the surface area of the cube is 384 square inches.