Solve the problem.
-The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 864 cubic inches.
A) $8 \mathrm { in }$.
B) 9 in.
C) $108 \mathrm { in } .$
D) $12 \mathrm { in. }$

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula $V = lwh$, where $l$ is the length, $w$ is the width, and $h$ is the height. Given $h = 8$ inches and $V = 864$ cubic inches, and the length is $l = w + 3$, we can set up the equation $864 = (w + 3)w(8)$. Simplifying gives $108 = w^2 + 3w$, which further simplifies to $w^2 + 3w - 108 = 0$. Solving this quadratic equation for $w$, we find $w = 9$ inches.

Solve the Problem 8in8 \mathrm { in }8in B) 9 In Height

Solve the Problem $8 \mathrm { in }$
B) 9 In Height