Question

Question
Use the image to answer the question.

An illustration shows a rectangular prism with length 10 inches, width 9 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

What is the surface area of the rectangular prism?

(1 point)

Answer 1

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

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

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

In this case:
- Length (\( l \)) = 10 inches
- Width (\( w \)) = 9 inches
- Height (\( h \)) = 3 inches

Now, we can substitute these values into the formula:

1. Calculate \( 2lw \):
\[
2lw = 2 \times 10 \times 9 = 180 \, \text{square inches}
\]

2. Calculate \( 2lh \):
\[
2lh = 2 \times 10 \times 3 = 60 \, \text{square inches}
\]

3. Calculate \( 2wh \):
\[
2wh = 2 \times 9 \times 3 = 54 \, \text{square inches}
\]

Now, sum these areas to find the total surface area:

\[
\text{Surface Area} = 180 + 60 + 54 = 294 \, \text{square inches}
\]

Thus, the surface area of the rectangular prism is \( \boxed{294} \) square inches.