Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 2 m 6 m 4 m

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a rectangular prism is $S = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 6m$, $w = 4m$, and $h = 2m$.

Step2: Calculate $lw$

$lw=6\times4 = 24m^{2}$

Step3: Calculate $lh$

$lh=6\times2 = 12m^{2}$

Step4: Calculate $wh$

$wh=4\times2 = 8m^{2}$

Step5: Substitute into formula

$S = 2(24 + 12+8)$
$S=2\times(44)$
$S = 88m^{2}$

Answer:

$88m^{2}$