Question

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

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

The formula for the surface area \( SA \) of a rectangular prism with length \( l \), width \( w \), and height \( h \) is \( SA = 2(lw + lh + wh) \).
Here, \( l = 20 \) cm, \( w = 14 \) cm, and \( h = 9 \) cm.

Step2: Calculate each term

First, calculate \( lw \): \( lw = 20\times14 = 280 \)
Then, calculate \( lh \): \( lh = 20\times9 = 180 \)
Next, calculate \( wh \): \( wh = 14\times9 = 126 \)

Step3: Substitute into the formula

Substitute these values into the formula: \( SA = 2(280 + 180 + 126) \)
First, add the terms inside the parentheses: \( 280 + 180 + 126 = 586 \)
Then, multiply by 2: \( SA = 2\times586 = 1172 \)

Answer:

1172