Find the volume of a cube if its surface area is 354 cm2.

The surface area of a cube can be calculated using the formula:
S = 6 * a² = 6 * a * a where S is the surface area of the cube, and is the edge of the cube.
From here you can derive a formula for calculating the edge of a cube:
a = √ (S / 6) = √ (354/6) = √59 (cm) length of the edge of the cube.

The volume of the cube is calculated by the formula:
V = a³ = a * a * a where V is the volume of the cube, a is the edge of the cube.
V = √59 * √59 * √59 = 59 * √59 = 59 √59 (cc) cube volume.

Answer: the volume of the cube is 59 √59 cc.



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