The diagonal of a cube is 8. Find its surface area?
| August 29, 2021 | education
The square of the diagonal of a parallelepiped is equal to the sum of the squares of its three dimensions, and since this parallelogram is a cube, then d ^ 2 = 3 * a ^ 2.
a ^ 2 = d ^ 2/3 = 64/3.
a = 8 / √3.
The surface area of a cube is equal to six areas of its faces.
Spov = 6 * a ^ 2 = 6 * 64/3 = 128 cm2.
Answer: The surface area of a cube is 128 cm2.
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