Solve the problem.
-The height of a box is 6 inches. The length is three inches more than the width. Find the width if the volume is 240 cubic inches.
A) 6 in.
B) 5 in.
C) 8 in.
D) $40 \mathrm{in}$.

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 that the height ($h$) is 6 inches, the volume ($V$) is 240 cubic inches, and the length ($l$) is three inches more than the width ($w$), we can set up the equation $240 = (w + 3)w(6)$. Simplifying, we get $240 = 6w^2 + 18w$, which simplifies further to $w^2 + 3w - 40 = 0$. Factoring this quadratic equation, we find that $w = 5$ inches (since width cannot be negative), which matches option B.

Solve the Problem 40in40 \mathrm{in}40in

Solve the Problem $40 \mathrm{in}$