Question

Calculate the surface area of a right rectangular prism with dimensions w=12 in.
, l=18 in.
, and h=8 in.
. How many square inches is the surface area?(1 point)
in.2
Remaining Attempts : 3

Answer 1

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

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

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

Given:
- \( l = 18 \) in,
- \( w = 12 \) in,
- \( h = 8 \) in.

Let's plug in the values:

1. Calculate \( lw \):
\[
lw = 18 \times 12 = 216 \, \text{in}^2
\]

2. Calculate \( lh \):
\[
lh = 18 \times 8 = 144 \, \text{in}^2
\]

3. Calculate \( wh \):
\[
wh = 12 \times 8 = 96 \, \text{in}^2
\]

Now, sum these areas:
\[
lw + lh + wh = 216 + 144 + 96 = 456 \, \text{in}^2
\]

Now, multiply by 2 to find the surface area:
\[
S = 2 \times 456 = 912 \, \text{in}^2
\]

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