Question

find the total surface area of the rectangular prism
Length - 14
width - 4
height - 11

Answer 1

To find the total 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,
- \( h \) is the height.

Substituting the given values:

- Length \( l = 14 \)
- Width \( w = 4 \)
- Height \( h = 11 \)

Now, calculate each term:

1. \( lw = 14 \times 4 = 56 \)
2. \( lh = 14 \times 11 = 154 \)
3. \( wh = 4 \times 11 = 44 \)

Now sum these values:

\[
lw + lh + wh = 56 + 154 + 44 = 254
\]

Now multiply by 2 to get the total surface area:

\[
\text{Surface Area} = 2 \times 254 = 508
\]

Therefore, the total surface area of the rectangular prism is \( \boxed{508} \) square units.