The surface area of this cube is 384 square inches. What is the volume?

Answer 1

Let's start by finding the length of one side of the cube.

We know that the formula for surface area of a cube is:

SA = 6s^2

where s is the length of one side.

We are given that the surface area is 384 square inches, so:

384 = 6s^2

Dividing both sides by 6:

64 = s^2

Taking the square root of both sides:

s = 8

So the length of one side is 8 inches.

Now we can use the formula for the volume of a cube:

V = s^3

with s = 8:

V = 8^3 = 512

So the volume of the cube is 512 cubic inches.