Question

Find the surface area of the rectangular prism. Length of 2 inches Width of 1 inch and a height of 1 inch.

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.

For this rectangular prism, the dimensions are:
- Length \( l = 2 \) inches
- Width \( w = 1 \) inch
- Height \( h = 1 \) inch

Now, plug the values into the formula:

1. Calculate \( lw \):
\[
lw = 2 \times 1 = 2
\]

2. Calculate \( lh \):
\[
lh = 2 \times 1 = 2
\]

3. Calculate \( wh \):
\[
wh = 1 \times 1 = 1
\]

Now substitute these values back into the surface area formula:

\[
\text{Surface Area} = 2(2 + 2 + 1) = 2(5) = 10
\]

Thus, the surface area of the rectangular prism is \( \boxed{10} \) square inches.