Question

which diagram is a net for this prism? what is the surface area of the rectangular prism? square centimeters

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, $l = 4$, $w = 3$, and $h = 8$.

Step2: Calculate $lw$

$lw=4\times3 = 12$.

Step3: Calculate $lh$

$lh = 4\times8=32$.

Step4: Calculate $wh$

$wh=3\times8 = 24$.

Step5: Substitute into formula

$SA=2(12 + 32+24)$.
First, add the values inside the parentheses: $12+32 + 24=68$.
Then, multiply by 2: $SA = 2\times68=136$.

Answer:

136