Calculate the surface area of a right rectangular prism with dimensions w=12 in.

Question

𝑤
=
12

in.
, l=18 in.
𝑙
=
18

in.
, and h=8 in.
ℎ
=
8

in.
. How many square inches is the surface area?(1 point)

Answer 1

To calculate 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

Given the dimensions:

• \( w = 12 \) in
• \( l = 18 \) in
• \( h = 8 \) in

Let's plug in these values into the formula:

1. Calculate each area component:

   • \( lw = 18 \times 12 = 216 \) in²
   • \( lh = 18 \times 8 = 144 \) in²
   • \( wh = 12 \times 8 = 96 \) in²

2. Now sum these areas: \[ lw + lh + wh = 216 + 144 + 96 = 456 \text{ in}^2 \]

3. Finally, calculate the surface area: \[ S = 2 \times 456 = 912 \text{ in}^2 \]

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