Question

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

Explanation:

Step1: Identify the formula for surface - area of a rectangular prism

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

Step2: Substitute the given values

Here, $l = 8$ m, $w = 3$ m, and $h = 3$ m.
$S=2(8\times3 + 8\times3+3\times3)$

Step3: Calculate the products inside the parentheses

$8\times3 = 24$, $8\times3 = 24$, and $3\times3 = 9$.
$S=2(24 + 24+9)$

Step4: Calculate the sum inside the parentheses

$24+24 + 9=57$.
$S = 2\times57$

Step5: Calculate the final result

$S = 114$ m²

Answer:

$114$ m²