Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer.

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 \( SA = 2(lw + lh + wh) \).
From the diagram, we can identify that \( l = 9 \) in, \( w = 6 \) in, and \( h = 3 \) in.

Step2: Substitute the values into the formula

First, calculate each product inside the parentheses:

• \( lw = 9\times6 = 54 \)
• \( lh = 9\times3 = 27 \)
• \( wh = 6\times3 = 18 \)

Then, add these products together: \( 54 + 27 + 18 = 99 \)

Next, multiply the sum by 2: \( SA = 2\times99 = 198 \)

Answer:

The surface area of the rectangular prism is \( 198 \) square inches.