Question

what is the surface area of a rectangular prism that has 12 ft, 11ft and 4 ft

Answer 1

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

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

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

In this case, the dimensions of the rectangular prism are:
- \( l = 12 \) ft
- \( w = 11 \) ft
- \( h = 4 \) ft

Now, plug these values into the formula:

\[
\text{Surface Area} = 2(12 \cdot 11 + 12 \cdot 4 + 11 \cdot 4)
\]

Calculating each term inside the parentheses:

1. \( 12 \cdot 11 = 132 \)
2. \( 12 \cdot 4 = 48 \)
3. \( 11 \cdot 4 = 44 \)

Now add these products together:

\[
132 + 48 + 44 = 224
\]

Now, multiply by 2 to find the surface area:

\[
\text{Surface Area} = 2 \cdot 224 = 448 \text{ ft}^2
\]

Thus, the surface area of the rectangular prism is **448 square feet**.