Question

20 ft
9 ft 16 ft
which diagram is a net for this prism?
what is the surface area of the rectangular prism?
square feet

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 \( SA = 2(lw + lh + wh) \).

Step2: Identify the values of \( l \), \( w \), and \( h \)

From the diagram, we have \( l = 16 \) ft, \( w = 9 \) ft, and \( h = 20 \) ft.

Step3: Calculate each term in the formula

• Calculate \( lw \): \( lw = 16\times9 = 144 \)
• Calculate \( lh \): \( lh = 16\times20 = 320 \)
• Calculate \( wh \): \( wh = 9\times20 = 180 \)

Step4: Substitute the values into the formula

\( SA = 2(144 + 320 + 180) \)
First, add the terms inside the parentheses: \( 144+320 + 180=644 \)
Then, multiply by 2: \( SA = 2\times644 = 1288 \)

Answer:

1288