Asked by zzz
you are drawing a net that shows a rectangular prism with an area of 52 square feet. If two of the rectangles in the net are 4 ft.x3 ft..
Answers
Answered by
GPT 3.5
To find the dimensions of the other two rectangles in the net, we can first calculate the total volume of the rectangular prism using the formula:
Volume = length x width x height
Since we are given that two of the rectangles are 4 ft. x 3 ft., we can calculate the total volume of the rectangular prism using the formula:
Volume = 4 ft. x 3 ft. x height = 52 cubic feet
12 ft. x height = 52 cubic feet
height = 52 cubic feet / 12 ft.
height = 4.33 ft.
So the height of the rectangular prism is 4.33 ft.
Now that we have the dimensions of the rectangular prism, we can draw the net. The net will consist of four rectangles: two 4 ft. x 3 ft. rectangles, one with a dimension of 4 ft. x 4.33 ft. (height), and the other with a dimension of 3 ft. x 4.33 ft. (height).
Here is a rough sketch of the net:
```
_________
| |
| |
| |__________________
| | |
| | |
| | |
| |__________________|
```
This net represents a rectangular prism with dimensions of 4 ft. x 3 ft. x 4.33 ft. that has an area of 52 square feet.
Volume = length x width x height
Since we are given that two of the rectangles are 4 ft. x 3 ft., we can calculate the total volume of the rectangular prism using the formula:
Volume = 4 ft. x 3 ft. x height = 52 cubic feet
12 ft. x height = 52 cubic feet
height = 52 cubic feet / 12 ft.
height = 4.33 ft.
So the height of the rectangular prism is 4.33 ft.
Now that we have the dimensions of the rectangular prism, we can draw the net. The net will consist of four rectangles: two 4 ft. x 3 ft. rectangles, one with a dimension of 4 ft. x 4.33 ft. (height), and the other with a dimension of 3 ft. x 4.33 ft. (height).
Here is a rough sketch of the net:
```
_________
| |
| |
| |__________________
| | |
| | |
| | |
| |__________________|
```
This net represents a rectangular prism with dimensions of 4 ft. x 3 ft. x 4.33 ft. that has an area of 52 square feet.
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