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11. a shoe box is covered with packing paper before being shipped. the …

Question

  1. 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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Explanation:

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.
$1200\times0.02 = 24$

Answer:

$\$24$