Question

a rectangular prism is shown below. which diagram is a net for this prism? what is the surface area of the rectangular prism? square feet

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, $l = 6$ ft, $w = 2$ ft, and $h = 8$ ft.

Step2: Calculate $lw$

$lw=6\times2 = 12$ square feet.

Step3: Calculate $lh$

$lh=6\times8 = 48$ square feet.

Step4: Calculate $wh$

$wh=2\times8 = 16$ square feet.

Step5: Substitute into formula

$SA = 2(12 + 48+16)$.
First, add the values inside the parentheses: $12 + 48+16=76$.
Then, multiply by 2: $SA = 2\times76=152$ square feet.

Answer:

152