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