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. Let $l = 20$ cm, $w = 14$ cm, and $h = 9$ cm.

Step2: Calculate $lw$

$lw=20\times14 = 280$ cm².

Step3: Calculate $lh$

$lh=20\times9 = 180$ cm².

Step4: Calculate $wh$

$wh=14\times9 = 126$ cm².

Step5: Calculate sum inside parentheses

$lw + lh+wh=280 + 180+126=586$ cm².

Step6: Multiply by 2

$SA = 2\times586=1172$ cm².

Answer:

1172