Final answer:
To find out how many large doors can be cut from a 11-foot board, multiply the length of the small doors by 3.3 to get the length of the large doors. Then, convert the length of the board from feet to inches and divide it by the length of the large doors to find the number of doors that can be cut.
Step-by-step explanation:
To find out how many large doors can be cut from a board that is 11 feet long, we need to determine the length of the large doors. We are given that the doors for the small cabinets are 18.5 inches long, and the doors for the large cabinets are 3.3 times as long.
Therefore, the length of the large doors is 3.3 × 18.5 = 61.05 inches.
Now, we convert the length of the board from feet to inches by multiplying it by 12: 11 × 12 = 132 inches.
Finally, we divide the length of the board by the length of the large doors to find out how many doors can be cut: 132 ÷ 61.05 ≈ 2 doors.