Convert each unit. Enter your answers in the boxes.
32
yards =
feet
1
4
foot =
inches
3
miles =
yards
32 yards = 96 feet
14 foot = 168 inches
3 miles = 5280 yards
Jeremy uses 27 inches of board for each birdhouse he builds.
How many yards of board does he need to make 6 birdhouses?
Use the diagram to help solve.
A number line starts at 0 and shows that 1 yard is equal to 36 inches, 2 yards is equal to 72 inches, 3 yards is equal to 108 inches, four yards is equal to 144 inches, and 5 yards is equal to 180 inches.
A.
3
1
2
yards
B.
4
yards
C.
4
1
2
yards
D.
5
yards
To find how many inches of board Jeremy needs to make 6 birdhouses, we can multiply the inches per birdhouse by the number of birdhouses:
27 inches/birdhouse * 6 birdhouses = 162 inches
To convert inches to yards, we can divide by 36 (since there are 36 inches in one yard):
162 inches / 36 inches/yard = 4.5 yards
Since we're asked to give our answer in yards to the nearest half yard, the closest option is (C) 4 1/2 yards.
Jeremy uses 27 inches of board for each birdhouse he builds.
How many yards of board does he need to make 6 birdhouses?
Use the diagram to help solve.
A number line starts at 0 and shows that 1 yard is equal to 36 inches, 2 yards is equal to 72 inches, 3 yards is equal to 108 inches, four yards is equal to 144 inches, and 5 yards is equal to 180 inches.
A.
3
1
2
yards
B.
4
yards
C.
4
1
2
yards
D.
5
yards
To find out how many yards of board Jeremy needs to make 6 birdhouses, we can use the following steps:
1. Multiply the inches of board used per birdhouse by the number of birdhouses:
27 inches/birdhouse * 6 birdhouses = 162 inches
2. Convert the total inches to yards by dividing by 36 (since there are 36 inches in a yard):
162 inches รท 36 inches/yard = 4.5 yards
Therefore, Jeremy needs 4.5 yards of board to make 6 birdhouses. The closest answer option is (C) 4 1/2 yards.
To convert units, we need to use conversion factors. A conversion factor is a ratio of equivalent values expressed in different units. Let's solve each conversion step by step:
1. Convert 32 yards to feet:
Since 1 yard is equal to 3 feet, we can set up the conversion factor: 1 yard = 3 feet.
Now, multiply 32 yards by the conversion factor:
32 yards * 3 feet/1 yard = 96 feet.
Therefore, 32 yards is equal to 96 feet.
2. Convert 14 feet to inches:
Since 1 foot is equal to 12 inches, the conversion factor will be: 1 foot = 12 inches.
Multiply 14 feet by the conversion factor:
14 feet * 12 inches/1 foot = 168 inches.
So, 14 feet is equal to 168 inches.
3. Convert 3 miles to yards:
Since 1 mile is equal to 1760 yards, we can set up the conversion factor: 1 mile = 1760 yards.
Multiply 3 miles by the conversion factor:
3 miles * 1760 yards/1 mile = 5280 yards.
Therefore, 3 miles is equal to 5280 yards.
Now, to summarize the conversions:
32 yards = 96 feet
14 feet = 168 inches
3 miles = 5280 yards