# Find the surface area and volume of a cube with an edge equal to 6 dm.

August 29, 2021 | education

| The surface area of a cube is equal to the sum of the areas of its six faces (square area) with side H (edge length) multiplied by 6, and is found by the formula:

S = 6 * H ^ 2

Thus, the area of a cube with an edge (face) side of 6 dm will be equal to:

S = 6 * 6 ^ 2 = 6 * 36 = 216 dm ^ 2 (square decimeters).

The volume of a cube is equal to the cube of the length of its edge (face), and is found by the formula:

V = H ^ 3

Thus, the volume of a cube with an edge (face) side of 6 dm will be equal to:

V = 6 ^ 3 = 6 * 6 * 6 = 216 dm ^ 3 (cubic decimeters).

Answer: S = 216 dm ^ 2; V = 216 dm ^ 3