Find the volume of a cube if the sum of the areas of all its faces is 96 cm 2.
| July 28, 2021 | education
1) Find the area of one face. The cube has 6 faces, so:
96/6 = 16 cm ^ 2.
2) Find the length of one side of the cube.
S = a * a = a ^ 2;
a = √ (S) = √ (16) = 4 cm.
3) The volume of the cube is found by the formula V = a * a * a.
V = 4 * 4 * 4 = 64 cm ^ 3.
Answer: the volume of the cube is 64 cm ^ 3.
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