Question

Solve for the surface area of a rectangular prism that's 3 inches tall, the width is 12 inches and on the sides the width is 5 inches. Responses: 222 square inches 222 square inches 180 square inches 180 square inches 111 square inches 111 square inches 270 square inches

Answer 1

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

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

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

From your description:
- Height (\( h \)) = 3 inches
- Width (\( w \)) = 12 inches
- Length (\( l \)) = 5 inches

Plugging these values into the formula:

\[
\text{Surface Area} = 2(5)(12) + 2(5)(3) + 2(12)(3)
\]

Calculating each part:

1. \( 2(5)(12) = 120 \)
2. \( 2(5)(3) = 30 \)
3. \( 2(12)(3) = 72 \)

Now add these together:

\[
\text{Surface Area} = 120 + 30 + 72 = 222
\]

Thus, the surface area of the rectangular prism is \( \textbf{222 square inches} \).