Question

Surface Area of Right Rectangular Prisms Practice
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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

Answer 1

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

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

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

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

Let's calculate the surface area step by step:

1. Calculate \( 2lw \):
\[
2lw = 2 \times 18 \times 12 = 432 \, \text{in.}^2
\]

2. Calculate \( 2lh \):
\[
2lh = 2 \times 18 \times 8 = 288 \, \text{in.}^2
\]

3. Calculate \( 2wh \):
\[
2wh = 2 \times 12 \times 8 = 192 \, \text{in.}^2
\]

4. Now, add all the areas together:
\[
\text{Surface Area} = 432 + 288 + 192 = 912 \, \text{in.}^2
\]

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