SOLUTION: Joey has a rectangular box with dimensions 25 inches by 40 inches by 58 inches. He would like to replace it with a box in the shape of a cube, but with the same volume. What shoul

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Question 1033127: Joey has a rectangular box with dimensions 25 inches by 40 inches by 58 inches. He would like to replace it with a box in the shape of a cube, but with the same volume. What should the length of a side of the cube be? Express your answer as a radical expression ONLY in simplest form.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the volume of the rectangular box is equal to 25 * 40 * 58 = 58000 cubic inches.

the volume of a cube is equal to s^3.

s is the length of a side of the cube.

you get s^3 = 58000.

take the cube root of both sides of this equation to get s = cube root of 58000.

since cube root of 58000 can also be written as 58000^(1/3), then you get s = 58000^(1/3) as another way to express that s = cube root of 58000.

in algebra.com, you would express the cube root of 58000 as root(3,58000).

using the algebra.com formatting language, this would look like root%283%2C58000%29.