Question

if the length of a rectangular prism is 4 and the width is 2 with a height of 1 what is the surface area

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,
- \( h \) is the height.

Given:
- \( l = 4 \)
- \( w = 2 \)
- \( h = 1 \)

Substituting the values into the formula:

\[
\text{Surface Area} = 2(4)(2) + 2(4)(1) + 2(2)(1)
\]

Calculating each term:
1. \( 2(4)(2) = 16 \)
2. \( 2(4)(1) = 8 \)
3. \( 2(2)(1) = 4 \)

Now, add these values together:

\[
\text{Surface Area} = 16 + 8 + 4 = 28
\]

Thus, the surface area of the rectangular prism is \( 28 \) square units.