Cory is cutting wood for a project. He has 6 pieces of wood that are each 66 inches long. He will cut the wood into pieces that are 5 1/2 inches long. How many total pieces can he cut?
66/5.5 = 12 pieces per board
so, 6 boards will produce 6*12 = 72 pieces
To find out how many total pieces Cory can cut, we need to divide the length of each piece of wood by the desired length of the cut pieces.
1. Length of each piece of wood: 66 inches
2. Desired length of cut pieces: 5 1/2 inches
To convert 5 1/2 inches to a fraction with a common denominator, we multiply the whole number (5) by the denominator (2) and add it to the numerator (1).
3. 5 1/2 inches as a fraction: (5 * 2 + 1)/2 = 11/2 inches
Now, we divide the length of each piece of wood by the desired length of the cut pieces:
4. Number of pieces per wood: 66 inches / (11/2 inches) = 66 inches * (2/11 inches) = 12 pieces
Thus, Cory can cut 12 pieces from each 66-inch piece of wood.
To find the total number of pieces Cory can cut, we multiply the number of pieces per wood by the total number of pieces of wood:
5. Total number of pieces: 12 pieces * 6 wood = 72 pieces
Therefore, Cory can cut a total of 72 pieces from the 6 pieces of wood.