Question

What is the surface area of the geometric figure that can be formed by the net?

A rectangular prism with a length of 6 centimeters, width of 2 centimeters, and height of 3 centimeters.


[Not drawn to scale]

36 cm2
60 cm2
66 cm2
72 cm2

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 (\(l\)) = 6 cm
- Width (\(w\)) = 2 cm
- Height (\(h\)) = 3 cm

First, calculate each term inside the parentheses:

1. \(lw = 6 \times 2 = 12\)
2. \(lh = 6 \times 3 = 18\)
3. \(wh = 2 \times 3 = 6\)

Now, add these values together:

\[
lw + lh + wh = 12 + 18 + 6 = 36
\]

Now, multiply by 2 to find the surface area:

\[
\text{Surface Area} = 2 \times 36 = 72 \, \text{cm}^2
\]

Therefore, the surface area of the rectangular prism is \(\boxed{72 \, \text{cm}^2}\).