Question

what is the surface area? image of a rectangular prism with dimensions 5 yd, 8 yd, 7 yd blank square yards 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 \( l = 8 \) yd, \( w = 5 \) yd, and \( h = 7 \) yd.

Step3: Calculate each product inside the parentheses

First, calculate \( lw \): \( lw = 8\times5 = 40 \).
Then, calculate \( lh \): \( lh = 8\times7 = 56 \).
Next, calculate \( wh \): \( wh = 5\times7 = 35 \).

Step4: Sum the products and multiply by 2

Sum the products: \( 40 + 56 + 35 = 131 \).
Then multiply by 2: \( SA = 2\times131 = 262 \).

Answer:

262