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?

Answer 1

To calculate the surface area of a right rectangular prism, we can use the formula:

\[
\text{Surface Area} = 2(lw + lh + wh)
\]

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

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

We can plug these values into the formula:

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:

\[
lw + lh + wh = 216 + 144 + 96 = 456 \text{ in}^2
\]

Finally, multiply by 2 to find the total surface area:

\[
\text{Surface Area} = 2 \times 456 = 912 \text{ in}^2
\]

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