Question

the rectangular prism pictured below has height 7 cm, length 10 cm, and width 5 cm. what is the surface area of the prism? cm²

Explanation:

Step1: Identify surface - area formula

The surface - area formula for a rectangular prism is $SA = 2lw+2lh + 2wh$, where $l$ is length, $w$ is width, and $h$ is height.

Step2: Substitute values

Substitute $l = 10$, $w = 5$, and $h = 7$ into the formula:
$SA=2\times10\times5+2\times10\times7+2\times5\times7$.

Step3: Calculate each term

$2\times10\times5=100$, $2\times10\times7 = 140$, $2\times5\times7=70$.

Step4: Sum up the terms

$SA=100 + 140+70=310$.

Answer:

$310$