Question

find the surface area of the right rectangular prism shown below. 2 4 2.5 units²

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 4$, $w = 2$, and $h = 2.5$.

Step2: Calculate $lw$

$lw=4\times2 = 8$.

Step3: Calculate $lh$

$lh = 4\times2.5=10$.

Step4: Calculate $wh$

$wh=2\times2.5 = 5$.

Step5: Substitute into formula

$SA=2(8 + 10+5)$.

Step6: Simplify the expression inside the parentheses

$8 + 10+5=23$.

Step7: Multiply by 2

$SA = 2\times23=46$.

Answer:

46