Surface Area of Right Rectangular Prisms Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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 \( 912 , \text{square inches} \).