# The edge of a cube is 3 cm. Find the volume of a cube, the surface area of a cube.

For a cube, all the faces are squares, so the length, width and height are equal. The area of a cube is calculated as follows:

V = a ^ 3, where a is the length of the edge.

Therefore, the area of our cube will be equal to:

V = 3 ^ 3 = 27 (cm cubic)

The surface area of a cube is the sum of the areas of all its faces. The cube has 6 faces with the same areas. Therefore, now it remains to find the area of one face of the cube to find the surface of the cube. The face area of a cube is the area of a square, so it is equal to:

S face = a ^ 2, where a is the length of the side of the square.

S faces = 3 ^ 2 = 9 (cm square)

Therefore, the surface area of the cube is:

S surface of a cube = 6 * S faces = 6 * 9 = 54 (cm square)

Answer: V = 27 cm cubic, S surface of a cube = 54 cm square.