The height of a box is 5 inches. Its length is 5 inches more than its width. Find the length if the volume is 120.

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula length × width × height. Let the width be x inches. Then, the length is x + 5 inches. Given the height is 5 inches and the volume is 120 cubic inches, we have the equation: 5(x)(x + 5) = 120. Simplifying gives x^2 + 5x - 24 = 0, which factors to (x + 8)(x - 3) = 0. Thus, x = 3 inches (width). The length is x + 5 = 3 + 5 = 8 inches.

The Height of a Box Is 5 Inches