Question

calculate the surface area of a rectangular prism with w=2, l=8 and h=12

Answer 1

The surface area \( A \) of a rectangular prism can be calculated using the formula:

\[
A = 2(lw + lh + wh)
\]

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

Given:
- \( w = 2 \)
- \( l = 8 \)
- \( h = 12 \)

Substituting these values into the formula:

\[
A = 2(8 \times 2 + 8 \times 12 + 2 \times 12)
\]

Calculating each term individually:

\[
8 \times 2 = 16
\]
\[
8 \times 12 = 96
\]
\[
2 \times 12 = 24
\]

Now add these results:

\[
16 + 96 + 24 = 136
\]

Now, multiply by 2:

\[
A = 2 \times 136 = 272
\]

Therefore, the surface area of the rectangular prism is \( 272 \) square units.