What is the length of the side of a cube whose surface area is 384 cm^2.

Given that the surface area of a cube is 384
cm^2

We need to find the length of the side of the
cube.

Let us assume that the side is x
cm.

Then we know that the area of one of the cube faces is
x^2.

But, the cube has 6
faces.

Then the total surface area is given by
6*x^2

But we know that the surface area is 384
cm^2

==> 6x^2 = 384

Now
we need to solve for x.

We will divide by
6.

==> x^2 = 384/6 =
64

Now we will take the square root of both
sides.

==> x = +- sqrt64 =
+-8

But we will ignore -8 because the length can not be
negative value.

Then, the side of the cube is
8 cm.