find the surface area

find the surface area

find the surface area

Answer

Explanation:

Step1: Identify the shape as a rectangular - prism net

The net represents a rectangular prism.

Step2: Recall the surface - area formula for a rectangular prism

The formula for the surface area of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. From the net, $l = 9$ ft, $w = 2$ ft, and $h = 2$ ft.

Step3: Calculate the three products inside the parentheses

$lw=9\times2 = 18$ square - feet, $lh=9\times2 = 18$ square - feet, $wh=2\times2 = 4$ square - feet.

Step4: Sum the three products

$lw+lh + wh=18 + 18+4=40$ square - feet.

Step5: Multiply by 2

$SA = 2\times40=80$ square - feet.

Answer:

80 square feet