Question

Question
A rectangular prism has length of 2 feet, a width of 3 feet, and a height of 4 feet. What is the surface area of the rectangular prism? Draw a net to help you find your answer.(1 point)

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.

For the rectangular prism in your question:
- Length (\( l \)) = 2 feet
- Width (\( w \)) = 3 feet
- Height (\( h \)) = 4 feet

Now, let's substitute these values into the surface area formula:

1. Calculate \( 2lw \):
\[
2lw = 2 \times 2 \times 3 = 12 \text{ square feet}
\]

2. Calculate \( 2lh \):
\[
2lh = 2 \times 2 \times 4 = 16 \text{ square feet}
\]

3. Calculate \( 2wh \):
\[
2wh = 2 \times 3 \times 4 = 24 \text{ square feet}
\]

Now, add these areas together:
\[
\text{Surface Area} = 12 + 16 + 24 = 52 \text{ square feet}
\]

Therefore, the surface area of the rectangular prism is **52 square feet**.

### Drawing the Net

To visualize the surface area, you can draw a net of the rectangular prism:

```
+-------------+
| | <-- 4 feet (height)
| Front |
| |
+-------------+
| | <-- 3 feet (width)
| Side |
| |
+-------------+
| | <-- 4 feet (height)
| Back |
| |
+-------------+
| |
| Side | <--3 feet (width)
| |
+-------------+
| | <-- 2 feet (length)
| Bottom |
| |
+-------------+
| |
| Top |
| |
+-------------+
```

In the net, you can see how each face of the rectangular prism corresponds to the contributions to the surface area. Each rectangle represents a face of the prism, with dimensions corresponding to the length, width, and height.