Question

calculate the surface area of rectangular prism with base sides 0f 6.5 feet and 8 feet, and a height of 3 feet

Answer 1

To calculate the surface area of a rectangular prism, you can use the formula:

\[
\text{Surface Area} = 2lw + 2lh + 2wh
\]

where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.

In this case, the dimensions are:
- Length (\( l \)) = 6.5 feet,
- Width (\( w \)) = 8 feet,
- Height (\( h \)) = 3 feet.

Now, plug the values into the formula:

1. Calculate \( 2lw \):
\[
2lw = 2 \times 6.5 \times 8 = 104 \, \text{square feet}
\]

2. Calculate \( 2lh \):
\[
2lh = 2 \times 6.5 \times 3 = 39 \, \text{square feet}
\]

3. Calculate \( 2wh \):
\[
2wh = 2 \times 8 \times 3 = 48 \, \text{square feet}
\]

Now, add all these areas together to find the total surface area:

\[
\text{Surface Area} = 104 + 39 + 48 = 191 \, \text{square feet}
\]

So, the surface area of the rectangular prism is **191 square feet**.