Solve the problem.
-The height of a box is 5 inches. The length is three inches more than the width. Find the width if the volume is 440 cubic inches.
A) 5 in.
B) 88 in.
C) 8 in.
D) 11 in.

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 + 3 inches. Given the height is 5 inches and the volume is 440 cubic inches, we have the equation: $x(x + 3)(5) = 440$. Simplifying, we get $5x^2 + 15x - 440 = 0$. Dividing the entire equation by 5 gives $x^2 + 3x - 88 = 0$. Factoring this equation, we find $x = 8$ or $x = -11$. Since a width cannot be negative, the width is 8 inches.

Solve the Problem. -The Height of a Box Is 5 Inches. the Length