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)

Answer 1

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.