Question

find the surface area of the figure below. round your answer to the nearest hundredth if necessary.
8.
23 cm
20 cm
4.5 cm

Explanation:

Step1: Identify the shape (rectangular prism)

The figure is a rectangular prism with length \( l = 20 \) cm, width \( w = 4.5 \) cm, height \( h = 23 \) cm.

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 product:

• \( lw = 20 \times 4.5 = 90 \)
• \( lh = 20 \times 23 = 460 \)
• \( wh = 4.5 \times 23 = 103.5 \)

Then, sum these products: \( 90 + 460 + 103.5 = 653.5 \)

Finally, multiply by 2: \( SA = 2 \times 653.5 = 1307 \)

Answer:

1307 square centimeters