Question

what is the surface area of this rectangular prism? 8 ft. 6 ft. 2 ft. square feet submit

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 have \( l = 6 \) ft, \( w = 2 \) ft, and \( h = 8 \) ft.

Step3: Calculate each term inside the parentheses

• Calculate \( lw \): \( lw=6\times2 = 12 \)
• Calculate \( lh \): \( lh = 6\times8=48 \)
• Calculate \( wh \): \( wh=2\times8 = 16 \)

Step4: Sum the terms inside the parentheses

Sum the three terms: \( 12 + 48+16=76 \)

Step5: Multiply by 2

Multiply the sum by 2: \( SA = 2\times76 = 152 \)

Answer:

152