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
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