The carpenter bought a 16 foot board. He cut off three pieces: 3 feet 4 inches, 2 feet 10 inches, and 6 feet 8 inches. How much board does he have left?
3'4" + 2"10" + 6'8" = 11'22" = 12'10"
16" = 15'12", so the amount left is
15'12" - 12'10" = 3'2"
1 ft = 12 in
2 ft = 24 in
6 ft = 72 in
16 ft = 192 in
3 ft + 4 in + 2 ft + 10 in + 6 ft 8 in =
36 + 4 + 24 + 10 + 72 + 8 = 154 in
16 ft - 154 in = 192 in - 154 in =
38 in =
36 in + 2 in =
3 ft 2 in
if 3 1/2 inches are cut off one end of an 8-foot length of lumber, what length remains
To find out how much board the carpenter has left, we need to subtract the total length of the three pieces he cut off from the original length of the board.
First, let's convert the lengths of the three pieces into a common unit of measurement. Since the original length is given in feet, we'll convert the inches into feet as well.
3 feet 4 inches = 3 + (4/12) = 3.33 feet (rounded to the nearest hundredth)
2 feet 10 inches = 2 + (10/12) = 2.83 feet (rounded to the nearest hundredth)
6 feet 8 inches = 6 + (8/12) = 6.67 feet (rounded to the nearest hundredth)
Next, let's add up the lengths of the three pieces:
3.33 feet + 2.83 fee + 6.67 feet = 12.83 feet
Now, we can find out how much board the carpenter has left:
Original length - Length of the cut pieces = Board left
16 feet - 12.83 feet = 3.17 feet (rounded to the nearest hundredth)
Therefore, the carpenter has 3.17 feet of board left.