Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Let $l = 5$ ft, $w = 2$ ft, and $h = 3$ ft.

Step2: Calculate $lw$

$lw=5\times2 = 10$ ft²

Step3: Calculate $lh$

$lh = 5\times3=15$ ft²

Step4: Calculate $wh$

$wh=2\times3 = 6$ ft²

Step5: Substitute into formula

$SA=2(10 + 15+6)$
$SA=2\times31$
$SA = 62$ ft²

Answer:

$62$ ft²