Question

What is the surface area of the rectangular prism?

A rectangular prism with a length of 7 inches, width of 9 inches, and height of 4 inches.

[Not drawn to scale]

99 square inches
127 square inches
252 square inches
254 square inches

Answer 1

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

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

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

Given:
- Length \( l = 7 \) inches
- Width \( w = 9 \) inches
- Height \( h = 4 \) inches

Now, let's calculate each term inside the parentheses:

1. Calculate \( lw \):
\[
lw = 7 \times 9 = 63
\]

2. Calculate \( lh \):
\[
lh = 7 \times 4 = 28
\]

3. Calculate \( wh \):
\[
wh = 9 \times 4 = 36
\]

Now, plug these back into the surface area formula:

\[
\text{Surface Area} = 2(63 + 28 + 36)
\]

First, sum up the values:

\[
63 + 28 + 36 = 127
\]

Now, multiply by 2:

\[
\text{Surface Area} = 2 \times 127 = 254 \text{ square inches}
\]

Thus, the surface area of the rectangular prism is:

\[
\boxed{254} \text{ square inches}
\]