Question

find the surface area of the rectangular prism. 8 m 3 m 6 m

Explanation:

Step1: Recall surface area formula

The surface area $S$ of a rectangular prism is given by:
$$S = 2(lw + lh + wh)$$
where $l=6\ \text{m}$, $w=3\ \text{m}$, $h=8\ \text{m}$.

Step2: Calculate each pair product

Calculate $lw$, $lh$, $wh$:
$lw = 6\times3 = 18\ \text{m}^2$
$lh = 6\times8 = 48\ \text{m}^2$
$wh = 3\times8 = 24\ \text{m}^2$

Step3: Sum the products

Add the three results:
$18 + 48 + 24 = 90\ \text{m}^2$

Step4: Multiply by 2

Multiply the sum by 2:
$S = 2\times90 = 180\ \text{m}^2$

Answer:

$180$ square meters