Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of cardboard that he can cut from: 6 inches, 5 inches, 7 inches, and 3 inches. If the length of the cardboard he needs is √35 inches, which piece of cardboard should he cut to create the least amount of unused cardboard?
3 inches
5 inches
6 inches ***
7 inches
it is 6
correct
good job
Yes that is correct
Yes
Noice
what does this question mean i am so confused
6 is right
To determine which piece of cardboard Chuck should cut to create the least amount of unused cardboard, we need to find the piece that is closest in length to √35 inches.
First, let's calculate √35:
√35 ≈ 5.92
Now, let's compare the difference between the length of √35 and each piece of cardboard:
- For the 3-inch cardboard: |√35 - 3| ≈ 2.92
- For the 5-inch cardboard: |√35 - 5| ≈ 0.92
- For the 6-inch cardboard: |√35 - 6| ≈ 0.08
- For the 7-inch cardboard: |√35 - 7| ≈ 1.08
The piece of cardboard with the smallest absolute difference is the 6-inch cardboard, with a difference of approximately 0.08 inches. Therefore, Chuck should cut the 6-inch cardboard to create the least amount of unused cardboard.