Question

what is the surface area of the prism in square feet? 4 ft 3 ft 2 ft 9 square feet 24 square feet 26 square feet 52 square feet

Explanation:

Step1: Recall surface area formula for rectangular prism

The formula for the surface area \( SA \) of a rectangular prism is \( SA = 2(lw + lh + wh) \), where \( l \) is length, \( w \) is width, and \( h \) is height. Here, \( l = 3 \) ft, \( w = 2 \) ft, \( h = 4 \) ft.

Step2: Calculate each term inside the formula

First, calculate \( lw = 3\times2 = 6 \), \( lh = 3\times4 = 12 \), \( wh = 2\times4 = 8 \).

Step3: Sum the terms and multiply by 2

Sum: \( 6 + 12 + 8 = 26 \). Then multiply by 2: \( 2\times26 = 52 \).

Answer:

52 square feet