Solve the problem.
-The height of a box is 4 inches. Its length is 4 inches more than its width. Find the length if the volume is 180 cubic inches.
A) 9 in.
B) 45 in.
C) 5 in.
D) 4 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 + 4 inches. Given the height is 4 inches and the volume is 180 cubic inches, we can set up the equation: $x(x + 4)(4) = 180$. Simplifying gives $4x^2 + 16x - 180 = 0$, which simplifies further to $x^2 + 4x - 45 = 0$. Factoring this equation gives $(x + 9)(x - 5) = 0$, so $x = 5$ inches (since width cannot be negative). Therefore, the length is $x + 4 = 5 + 4 = 9$ inches.

Solve the Problem. -The Height of a Box Is 4 Inches. Its Length