The volume of a cube can be found by multiplying the length times width times height of a box (V=wh 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 the dimensions of the box are equal, let's denote the side length as s.
According to the given formula, the volume of the box (V) is equal to s^3.
We are also given that the volume of the box is 857.375 cubic inches.
Therefore, we can set up the equation:
s^3 = 857.375
To find the side length, we need to find the cube root of 857.375.
Taking the cube root on both sides of the equation, we get:
s = ∛857.375
Using a calculator to find the cube root, we get:
s ≈ 9.29
Rounding this to the nearest hundredth, we find that the side length of the box is approximately 9.29 inches.