Question

David has a piece of wood measuring 1218 feet that he wants to use for a project. He needs to cut the wood into pieces that measure 11316 feet. How many pieces of wood can he cut measuring exactly 11316 feet?

Answer 1

David can cut 10 whole pieces of wood measuring exactly 11316 feet from a piece of wood measuring 1218 feet after converting both measurements to inches and dividing the total length by the piece length.

Step-by-step explanation:

Calculating Pieces of Cut Wood

To answer the question: David has a piece of wood measuring 1218 feet that he needs to cut into pieces measuring 11316 feet each. To determine how many pieces he can cut, it is necessary to convert both measurements to a common unit, such as inches, and then divide the total number of inches in the wood by the number of inches in the pieces he wants to cut.

First, convert 1218 feet to inches: (12 feet × 12 inches/foot) + (18 inches) = 144 inches + 18 inches = 162 inches. Next, convert 11316 feet to inches: (1 foot × 12 inches/foot) + (316 inches) = 12 inches + 3.75 inches = 15.75 inches. Now divide the total number of inches in the wood by the number of inches each piece should be: 162 inches ÷ 15.75 inches. The result is approximately 10.29.

Since David can't cut a fraction of a piece, he can only cut 10 whole pieces of wood measuring exactly 11316 feet.

Answer 2

1218 is smaller than 11316. Therefore, someone cannot chop a piece of wood that is 1218 feet into pieces that are 11316 feet long. So a person can chop exactly zero pieces of wood that are exactly 11316 feet long.