The volume of a cube can be found by multiplying the length times width times height of a box (V=lwh or V=s^3). If the volume of a box is 857.375 cubic inches and all of its dimensions are equal, what is the side length of the box in inches? (round to the nearest hundredth)

Answer 1

Since all of the dimensions of the box are equal, we can use the formula V = s^3, where V is the volume and s is the side length of the box.

Given that the volume of the box is 857.375 cubic inches, we can set up the equation:
857.375 = s^3

Taking the cube root of both sides, we find that s = 9.5

Therefore, the side length of the box is 9.5 inches.