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 432 cubic inches.
A) 54 in.
B) $8 \mathrm { in }$.
C) 9 in.
D) $6 \mathrm { in }$.

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 8 inches, the volume ($V$) is 432 cubic inches, and the length ($l$) is three inches more than the width ($w$), we can set up the equation $432 = (w + 3)w(8)$. Simplifying, we get $432 = 8w^2 + 24w$, which simplifies further to $w^2 + 3w - 54 = 0$. Solving this quadratic equation for $w$, we find that $w = 6$ inches is the positive solution that makes sense in this context.

Solve the Problem -The Height of a Box Is 8 8in8 \mathrm { in }8in

Solve the Problem
-The Height of a Box Is 8 $8 \mathrm { in }$