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.
To find the surface area of the rectangular prism, we need to calculate the area of each of the six faces and then sum them up.
The net of the rectangular prism is shown below:
```
_________
|\ \
| \______ \
| | | |
| | | |
| |______| |
\ \
\________\
```
The six faces are labeled as follows:
- Top face: 2 ft x 3 ft = 6 sq ft
- Bottom face: 2 ft x 3 ft = 6 sq ft
- Front face: 2 ft x 4 ft = 8 sq ft
- Back face: 2 ft x 4 ft = 8 sq ft
- Left face: 3 ft x 4 ft = 12 sq ft
- Right face: 3 ft x 4 ft = 12 sq ft
Adding up the areas of all six faces:
6 + 6 + 8 + 8 + 12 + 12 = 52 sq ft
Therefore, the surface area of the rectangular prism is 52 square feet.
wrong
I apologize for the error in my calculation. Let's recalculate the surface area of the rectangular prism.
Given:
Length = 2 feet
Width = 3 feet
Height = 4 feet
To find the surface area of a rectangular prism, we can use the formula:
Surface Area = 2lw + 2lh + 2wh
Plugging in the values:
Surface Area = 2(2)(3) + 2(2)(4) + 2(3)(4)
Surface Area = 12 + 16 + 24
Surface Area = 52 square feet
Therefore, the correct surface area of the rectangular prism is 52 square feet.