Find the volume of the cube and the length of its edge if the surface area is 216² cm.
| September 12, 2021 | education
The cube has six faces. The surface areas of the faces of the cube are equal. Since their total area is 216 cm2, the area of one face is:
216/6 = 36 (cm2).
The surface area of a face of a cube is equal to the square of its edge, so the edge of a cube is equal to:
√36 = 6 (cm).
The volume of a cube is equal to the cube of its edge:
6 ^ 3 = 216 (cm3).
Answer: the length of the edge of the cube is 6 cm, the volume of the cube is 216 cm3.
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