Question

Use the formula SA = 2(lw) +2 (wh) + 2(lh) to find the surface area for a rectangular prism with the length l of ​2.7 yd, a width w of 1.77 yd​, and a height h of 6 yd.

Answer 1

The surface area of the rectangular prism with dimensions length 2.7 yd, width 1.77 yd, and height 6 yd, when calculated using the provided formula, is 63.198 square yards.

Step-by-step explanation:

To find the surface area of a rectangular prism using the formula SA = 2(lw) + 2(wh) + 2(lh), we need to substitute the given dimensions into the formula:

• Length (l) = 2.7 yd
• Width (w) = 1.77 yd
• Height (h) = 6 yd

Now, let's calculate each term:

1. 2(lw) = 2(2.7 yd × 1.77 yd) = 2(4.779 yd²) = 9.558 yd²
2. 2(wh) = 2(1.77 yd × 6 yd) = 2(10.62 yd²) = 21.24 yd²
3. 2(lh) = 2(2.7 yd × 6 yd) = 2(16.2 yd²) = 32.4 yd²

Add up all the areas:

SA = 9.558 yd² + 21.24 yd² + 32.4 yd² = 63.198 yd²

The surface area of the rectangular prism is 63.198 square yards.