Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 3 cm 7 cm 2 cm

Explanation:

Step1: Recall surface - area formula

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

Step2: Identify dimensions

Here, $l = 7$ cm, $w = 2$ cm, and $h = 3$ cm.

Step3: Calculate $lw$, $lh$, and $wh$

$lw=7\times2 = 14$ $cm^{2}$, $lh = 7\times3=21$ $cm^{2}$, $wh=2\times3 = 6$ $cm^{2}$.

Step4: Substitute into formula

$SA=2(14 + 21+6)$.
First, add the values inside the parentheses: $14 + 21+6=41$ $cm^{2}$.
Then, multiply by 2: $SA = 2\times41=82$ $cm^{2}$.

Answer:

$82$ $cm^{2}$