Question

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

Explanation:

Step1: Recall surface area formula

The surface area formula for a rectangular prism is $SA = 2(lw + lh + wh)$, where $l=7\ \text{m}$, $w=2\ \text{m}$, $h=6\ \text{m}$.

Step2: Calculate each face area sum

First compute $lw + lh + wh$:

$$\begin{align} lw + lh + wh &= (7\times2) + (7\times6) + (2\times6) \\ &= 14 + 42 + 12 \\ &= 68 \end{align}$$

Step3: Multiply by 2 for total SA

Multiply the sum by 2:
$SA = 2\times68 = 136$

Step4: Assign correct unit

The unit for surface area is square meters, $\text{m}^2$.

Answer:

$136\ \text{m}^2$