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)
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.