The volume, v, of a rectangular prism is determined using the formula , where l is the length, w is the width, and h is the height of the prism. carltren solves for w and writes the equivalent equation w = .

using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches?

In this problem, we need to solve for the measurement of the width of the rectangular prism on which the formula is Volume = length * width * height. Ther are given values such as length = 3.2 inches, height = 9.6 inches and volume = 138.24 cubic inches. Solving for the width, we have shown it below:
Volume = length * width * height
138.24 = 3.2 * width * 9.6
138.24 / (3.2*9.6) = width
4.5 inches = width 

The answer is 4.5 inches for the width of the rectangular prism.