Question

Calculate the surface area of a right rectangular prism with dimensions w = 12in.,l=18in. and h=8in . How many square inches is the surface area?

Answer 1

To calculate the surface area \(A\) of a right rectangular prism, we use the formula:

\[
A = 2(wh + wl + hl)
\]

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

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

We can plug these values into the formula:

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

2. Calculate \(wl\):
\[
wl = 12 \times 18 = 216
\]

3. Calculate \(hl\):
\[
hl = 8 \times 18 = 144
\]

Now, substitute these values into the surface area formula:

\[
A = 2(96 + 216 + 144)
\]

4. Add the values inside the parentheses:
\[
96 + 216 + 144 = 456
\]

5. Now multiply by 2:
\[
A = 2 \times 456 = 912
\]

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