The height of a box is 4 inches. The length is three inches more than the width. Find the width if the volume is 352 cubic inches.
A) 88 in.
B) 8 in.
C) 11 in.
D) 4 in.

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula length × width × height. Let's denote the width as w. According to the problem, the length is three inches more than the width, so the length is w + 3 inches. The height is given as 4 inches. The volume of the box is 352 cubic inches. Therefore, we can set up the equation: $w \times (w + 3) \times 4 = 352$. Simplifying, we get $w^2 + 3w - 88 = 0$. Solving this quadratic equation, we find that $w = 8$ inches is the positive solution that makes sense in this context.

The Height of a Box Is 4 Inches