Question

what is the surface area? 13.8 m, 6.5 m, 10.1 m square meters submit

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism.

The surface area \( S \) of a rectangular prism with length \( l \), width \( w \), and height \( h \) is given by \( S = 2(lw + lh + wh) \).
Here, \( l = 13.8 \, \text{m} \), \( w = 6.5 \, \text{m} \), and \( h = 10.1 \, \text{m} \).

Step2: Calculate each pair of faces.

First, calculate \( lw \):
\( lw = 13.8 \times 6.5 = 89.7 \)
Then, calculate \( lh \):
\( lh = 13.8 \times 10.1 = 139.38 \)
Next, calculate \( wh \):
\( wh = 6.5 \times 10.1 = 65.65 \)

Step3: Sum the products and multiply by 2.

Sum the three products: \( 89.7 + 139.38 + 65.65 = 294.73 \)
Then multiply by 2: \( S = 2 \times 294.73 = 589.46 \)

Answer:

\( 589.46 \)