Find the surface area of a cube if its volume is 125 cm3.

For a cube, all the faces are equal. This means that we just need to find the area of one of the faces and multiply it by 6 to get the surface area of the entire cube.

By condition, we are given the volume of a cube. So we can find the edge of the cube from the formula:

V = a ^ 3,

where a is the edge of the cube.

Find the edge of the cube in accordance with the formula:

125 = a ^ 3;

a = 5 cm.

The face of a cube is a square. We know the side of such a square, which means that we can find its area by the formula:

S = a ^ 2.

Then we get:

S = 5 ^ 2;

S = 25 cm2.

Now let’s find the surface area of the cube:

25 * 6 = 150 cm2.

Answer: 150 cm2.