Final answer:
By converting the plank's length from 6 feet to 72 inches, we find that it is possible to cut 12 pieces that are 2 inches by 4 inches by 6 inches from the original plank.
Step-by-step explanation:
To calculate how many pieces of wood can be cut from a plank that is 2 inches high, 4 inches wide, and 6 feet long into pieces that are 2 inches high, 4 inches wide, and 6 inches long, you must first convert all measurements to the same units. Since we want to cut the wood into pieces 6 inches long, we will convert the length of the original plank from feet to inches.
There are 12 inches in a foot, so a 6-foot long plank is 6 x 12 = 72 inches long.
Next, divide the length of the plank in inches by the length of the desired pieces:
72 inches ÷ 6 inches = 12 pieces
Therefore, you can cut 12 pieces that are each 2 inches high, 4 inches wide, and 6 inches long from the original plank.