Question

formula for rectangular prism: SA =2lw + 2hw + 2lh
use this formula to find the surface area of a rectangular prism that has :
10 m length, 3 m width, and 6 m height

Answer 1

To find the surface area (SA) of the rectangular prism using the formula \( SA = 2lw + 2hw + 2lh \), we can plug in the values for length (l), width (w), and height (h).

Given:
- \( l = 10 \, \text{m} \)
- \( w = 3 \, \text{m} \)
- \( h = 6 \, \text{m} \)

Now we can calculate each component of the formula:

1. \( 2lw = 2 \times 10 \times 3 = 60 \, \text{m}^2 \)
2. \( 2hw = 2 \times 6 \times 3 = 36 \, \text{m}^2 \)
3. \( 2lh = 2 \times 10 \times 6 = 120 \, \text{m}^2 \)

Now, sum these values to find the total surface area:

\[
SA = 60 + 36 + 120 = 216 \, \text{m}^2
\]

Therefore, the surface area of the rectangular prism is \( 216 \, \text{m}^2 \).