Solve the problem.
-Find the height of a moving box if its length is 32 in., its width is 26 in., and its surface area is 2940 in $^ { 2 }$. Assume that the surface area includes the top of the moving box.
A) $11 \mathrm { in }$.
B) $26 \mathrm { in }$.
C) $32 \mathrm { in }$.
D) $9152 \mathrm { in }$.

Question

Quizplus · Accepted Answer

The surface area of a box is given by $2lw + 2lh + 2wh$, where $l$ is the length, $w$ is the width, and $h$ is the height. Plugging in the given values, we get $2(32)(26) + 2(32)h + 2(26)h = 2940$. Simplifying, $1664 + 64h + 52h = 2940$, which simplifies to $116h = 1276$, giving $h = 11$ inches.

Solve the Problem 2^ { 2 }2 Assume That the Surface Area Includes the Top of If

Solve the Problem $^ { 2 }$ Assume That the Surface Area Includes the Top of If