Solve the problem.
-Find the height of a moving box if its length is 30 in., its width is 33 in., and its surface area is $3618 \text { in } ^ { 2 }$ . Assume that the surface area includes the top of the moving box.
A) 12,870 in.
B) 13 in.
C) 33 in.
D) 30 in.

Question

Quizplus · Accepted Answer

The surface area $A$ of a box can be calculated using the formula $A = 2lw + 2lh + 2wh$, where $l$ is the length, $w$ is the width, and $h$ is the height. Given $l = 30$ in, $w = 33$ in, and $A = 3618$ in$^2$, we can substitute these values into the formula and solve for $h$. Rearranging the formula to solve for $h$, we get $h = \frac{A - 2lw}{2l + 2w}$. Substituting the given values, we find $h = 13$ in.

Solve the Problem 3618 in 23618 \text { in } ^ { 2 }3618 in 2

Solve the Problem $3618 \text { in } ^ { 2 }$