Neil needs to cut 3 long boards into 9 smaller boards. The first is 10 ft, the second is 16 ft, and third is 18 ft. The table lists the smaller boards Neil needs. Use a drawing to show how he can divide the 3 boards so there is no waste.
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Neil needs to cut 3 long boards into 9 smaller boards. The first is 10 ft, the second is 16 ft, and third is 18 ft. The table lists the smaller boards Neil needs. Use a drawing to show how he can divide the 3 boards so there is no waste.
i don't know that's im asking
To divide the three long boards into smaller boards with no waste, we need to find the common length at which we can cut all the boards.
First, let's find the common divisor of 10, 16, and 18.
The divisors of 10 are 1, 2, 5, and 10.
The divisors of 16 are 1, 2, 4, 8, and 16.
The divisors of 18 are 1, 2, 3, 6, 9, and 18.
The common divisors of all three numbers are 1 and 2. Since we want to avoid waste, let's choose the highest common divisor, which is 2.
Now let's divide each board into smaller boards of length 2 ft:
- The first board (10 ft) can be divided into 5 smaller boards of 2 ft each.
- The second board (16 ft) can be divided into 8 smaller boards of 2 ft each.
- The third board (18 ft) can be divided into 9 smaller boards of 2 ft each.
So, Neil can cut the three long boards into 9 smaller boards of 2 ft each, without any waste.
Here's a visual representation:
Board 1 (10 ft): | | | | |
Board 2 (16 ft): | | | | | | | |
Board 3 (18 ft): | | | | | | | | |
Each "|" represents a smaller board of 2 ft.