Question

what is the surface area of this shape? type your answer in the boxes

Explanation:

Step1: Identify the shape (a rectangular prism net)

The net has dimensions: length \( l = 8 \) ft, width \( w = 7 \) ft, height \( h = 5 \) ft.

Step2: Recall the surface area formula for a rectangular prism

The formula is \( SA = 2(lw + lh + wh) \).

Step3: Substitute the values into the formula

First, calculate each product:

• \( lw = 8 \times 7 = 56 \)
• \( lh = 8 \times 5 = 40 \)
• \( wh = 7 \times 5 = 35 \)

Step4: Sum the products and multiply by 2

Sum: \( 56 + 40 + 35 = 131 \)
Multiply by 2: \( 2 \times 131 = 262 \)

Answer:

262 square feet