Fill in each blank: 1. 6 ft = ? in 2. 34 yd = ? ft 3. 9 mi = ? yd 4. 15 yd = ? in
Understand the Problem
The question asks to convert between different units of length, feet to inches, yards to feet, miles to yards, and yards to inches. This is a unit conversion problem typically found in elementary mathematics.
Answer
1. $72$ 2. $102$ 3. $15840$ 4. $540$
Answer for screen readers
- $72$ in
- $102$ ft
- $15840$ yd
- $540$ in
Steps to Solve
- Convert feet to inches
Since 1 foot = 12 inches, multiply the number of feet by 12 to get the number of inches.
$6 \text{ ft} = 6 \times 12 \text{ in} = 72 \text{ in}$
- Convert yards to feet
Since 1 yard = 3 feet, multiply the number of yards by 3 to get the number of feet.
$34 \text{ yd} = 34 \times 3 \text{ ft} = 102 \text{ ft}$
- Convert miles to yards
Since 1 mile = 1760 yards, multiply the number of miles by 1760 to get the number of yards.
$9 \text{ mi} = 9 \times 1760 \text{ yd} = 15840 \text{ yd}$
- Convert yards to inches
Since 1 yard = 36 inches, multiply the number of yards by 36 to get the number of inches.
$15 \text{ yd} = 15 \times 36 \text{ in} = 540 \text{ in}$
- $72$ in
- $102$ ft
- $15840$ yd
- $540$ in
More Information
Here are the conversion factors used:
- 1 foot = 12 inches
- 1 yard = 3 feet
- 1 mile = 1760 yards
- 1 yard = 36 inches
Tips
A common mistake is using the wrong conversion factor or multiplying when you should be dividing (or vice versa). Always double-check the conversion factor and make sure the units cancel out appropriately.
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