Question

Surface Area of Right Rectangular Prisms Practice
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Question
Caroline needs to find the surface area of a cereal box for an art project. The box is a rectangular prism with a length of 8 inches, a height of 12 inches, and a width of 2 inches. What is its surface area?(1 point)
in.2

Answer 1

To find the surface area \(S\) of a right rectangular prism, you can use the formula:

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

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

For Caroline's cereal box:
- Length (\(l\)) = 8 inches
- Width (\(w\)) = 2 inches
- Height (\(h\)) = 12 inches

Now, plug the values into the formula:

1. Calculate \(lw\):
\[
lw = 8 \times 2 = 16
\]

2. Calculate \(lh\):
\[
lh = 8 \times 12 = 96
\]

3. Calculate \(wh\):
\[
wh = 2 \times 12 = 24
\]

4. Now sum \(lw\), \(lh\), and \(wh\):
\[
lw + lh + wh = 16 + 96 + 24 = 136
\]

5. Finally, multiply by 2 to find the surface area:
\[
S = 2 \times 136 = 272 \text{ in}^2
\]

Therefore, the surface area of the cereal box is \( \boxed{272} \text{ in}^2. \)