Question

what is the surface area of the rectangular prism shown below? image of a rectangular prism with dimensions 3 in., 5 in., 4 in. \square square inches

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 can see that \( l = 5 \) in, \( w = 3 \) in, and \( h = 4 \) in.

Step3: Substitute the values into the formula.

First, calculate each product:

• \( lw = 5 \times 3 = 15 \)
• \( lh = 5 \times 4 = 20 \)
• \( wh = 3 \times 4 = 12 \)

Then, add these products together: \( 15 + 20 + 12 = 47 \)
Finally, multiply by 2: \( SA = 2 \times 47 = 94 \)

Answer:

94