A cube has a volume of 474,552 cubic units. What is the surface area, in square units, of the cube?

Question

Accepted Answer

The correct answer is 36,504 . The volume of a cube can be found using the formula V = s 3 , where s represents the edge length of a cube. It&rsquo;s given that this cube has a volume of 474,552 cubic units. Substituting 474,552 for V in V = s 3 yields 474,552 = s 3 . Taking the cube root of both sides of this equation yields 78 = s . Thus, the edge length of the cube is 78 units. Since each face of a cube is a square, it follows that each face has an edge length of 78 units. The area of a square can be found using the formula A = s 2 . Substituting 78 for s in this formula yields A = 78 2 , or A = 6,084 . Therefore, the area of one face of this cube is 6,084 square units. Since a cube has 6 faces, the surface area, in square units, of this cube is 6 6,084 , or 36,504 .

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