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

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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.

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