Solve the problem.
-The height of a box is 3 inches. The length is three inches more than the width. Find the width if the volume is 210 cubic inches.
A) 70 in.
B) 7 in.
C) 3 in.
D) 10 in.

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula length × width × height. Let the width be w inches. Then, the length is w + 3 inches. Given the height is 3 inches and the volume is 210 cubic inches, we have the equation: 3(w)(w + 3) = 210. Simplifying gives w^2 + 3w - 70 = 0, which factors to (w - 7)(w + 10) = 0. Thus, w = 7 inches since width cannot be negative.

Solve the Problem. -The Height of a Box Is 3 Inches. the Length