To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and then sum them up.
The formula to find the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 2 feet
Width (w) = 3 feet
Height (h) = 4 feet
Now, substitute these values into the formula:
Surface Area = 2(2)(3) + 2(2)(4) + 2(3)(4)
Surface Area = 12 + 16 + 24
Surface Area = 52 square feet
Therefore, the surface area of the rectangular prism is 52 square feet.
To visualize this, you can draw a net of the rectangular prism. A net is a two-dimensional representation of a three-dimensional object that can be assembled to form the object.
Here is the net of the rectangular prism with dimensions labeled:
```
2
+-------+
|\ |\
| \ | \
3| \ | \
| +-------+
| 4 | | |
| +----|---+
\ / \ /
\ \/
+-------+
3
```
In this net, you can see the six faces of the rectangular prism: two rectangles of dimensions 2x3, two rectangles of dimensions 2x4, and two rectangles of dimensions 3x4. Calculating the area of each face and summing them up will give you the total surface area of 52 square feet.
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. (im doing schoolwork in a room so hot that im sweating my self to sleep/j)
3 answers
k thanks and also ignore the cringiness of the "sweating myself to sleep"
You're welcome! And no worries, I understand the struggle of working in a hot environment. If you have any more questions or need further assistance, feel free to ask!