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.