Question

lauren bought a rectangular box that is 6 inches long, 10 inches wide, and 4 inches high. she wants to cover it in fabric. the fabric costs $0.25 per square inch. how much will the fabric cost? $______
how to solve:

1. find the surface area of the rectangular box
2. multiply your surface area times $0.25 to get the fabric cost.

Explanation:

Step1: Calculate surface area of box

The surface area formula for a rectangular prism is $SA=2(lw + lh + wh)$, where $l=6$, $w=10$, $h=4$.
$$SA=2((6\times10)+(6\times4)+(10\times4))$$
$$SA=2(60 + 24 + 40)$$
$$SA=2\times124=248$$

Step2: Calculate total fabric cost

Multiply surface area by cost per square inch.
$$\text{Cost}=248\times0.25$$

Answer:

$62$