Question

calculate the surface area of a right rectangular prism with a w=12, l=18 and h=8

Answer 1

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

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

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

Given the dimensions:
- \( w = 12 \)
- \( l = 18 \)
- \( h = 8 \)

We can substitute these values into the formula:

1. Calculate \( lw \):
\[
lw = 18 \times 12 = 216
\]

2. Calculate \( lh \):
\[
lh = 18 \times 8 = 144
\]

3. Calculate \( wh \):
\[
wh = 12 \times 8 = 96
\]

Now, sum these areas:
\[
lw + lh + wh = 216 + 144 + 96 = 456
\]

Finally, calculate the surface area:
\[
A = 2(456) = 912
\]

Therefore, the surface area of the right rectangular prism is \( \boxed{912} \) square units.