Question

1. find the surface area of the rectangular prism using the net.

(there is a net of a rectangular prism with dimensions 4 in, 8 in, 4 in and other related figures above the text)

Explanation:

Step1: Identify the dimensions

From the net, the length \( l = 8 \) in, width \( w = 4 \) in, height \( h = 4 \) in.

Step2: Recall the surface area formula for a rectangular prism

The formula for the surface area \( SA \) of a rectangular prism is \( SA = 2(lw + lh + wh) \).

Step3: Substitute the values into the formula

First, calculate each term:

• \( lw = 8 \times 4 = 32 \)
• \( lh = 8 \times 4 = 32 \)
• \( wh = 4 \times 4 = 16 \)

Then, sum these terms: \( 32 + 32 + 16 = 80 \)

Finally, multiply by 2: \( SA = 2 \times 80 = 160 \) square inches.

Answer:

160 square inches