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)

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

The surface area of a rectangular prism can be found by adding up the areas of all of its faces.

To find the surface area of the rectangular prism with dimensions of 2 feet x 3 feet x 4 feet, we first calculate the area of each face:

- The top and bottom faces have an area of 2 feet x 3 feet = 6 square feet each.
- The two side faces each have an area of 3 feet x 4 feet = 12 square feet.
- The front and back faces each have an area of 2 feet x 4 feet = 8 square feet.

Adding all the areas together, we get:

6 + 6 + 12 + 12 + 8 + 8 = 52 square feet

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

To help visualize this, below is a net of the rectangular prism:

```
_______________
/ / |
/ / |
/____________ / |
| |_____|
| | |
| | |
| | |
| | |
|___________|____|

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If you cut along the edges of the net and fold it up, you can see that it forms a rectangular prism with the dimensions of 2 feet x 3 feet x 4 feet.

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