QUESTION IMAGE
Question
- a shoe box is covered with packing paper before being shipped. the paper costs $0.02 per square inch. how much will it cost to cover three shoe boxes?
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Step1: Find surface area of 1 box
The surface area formula for a rectangular prism is $2(lw + lh + wh)$, where $l=14$, $w=8$, $h=4$.
$$\begin{align*}
\text{Surface Area} &= 2(14\times8 + 14\times4 + 8\times4)\\
&=2(112 + 56 + 32)\\
&=2(200)\\
&=400
\end{align*}$$
Step2: Calculate area for 3 boxes
Multiply single box area by 3.
$400\times3 = 1200$
Step3: Compute total cost
Multiply total area by cost per square inch.
$1200\times0.02 = 24$
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$\$24$