Convert the following units: 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. It involves converting feet to inches, yards to feet, miles to yards, and yards to inches using the appropriate conversion factors.
Answer
1. 72 in 2. 102 ft 3. 15840 yd 4. 540 in
Answer for screen readers
- 72 in
- 102 ft
- 15840 yd
- 540 in
Steps to Solve
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Convert feet to inches To convert feet to inches, we use the conversion factor 1 ft = 12 in. Multiply 6 feet by 12 inches/foot. $6 \text{ ft} \times \frac{12 \text{ in}}{1 \text{ ft}} = 72 \text{ in}$
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Convert yards to feet To convert yards to feet, we use the conversion factor 1 yd = 3 ft. Multiply 34 yards by 3 feet/yard. $34 \text{ yd} \times \frac{3 \text{ ft}}{1 \text{ yd}} = 102 \text{ ft}$
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Convert miles to yards To convert miles to yards, we use the conversion factor 1 mi = 1760 yd. Multiply 9 miles by 1760 yards/mile. $9 \text{ mi} \times \frac{1760 \text{ yd}}{1 \text{ mi}} = 15840 \text{ yd}$
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Convert yards to inches To convert yards to inches, we can use the conversion factors 1 yd = 3 ft and 1 ft = 12 in. Therefore, 1 yd = 3 ft $\times$ 12 in/ft = 36 in. Multiply 15 yards by 36 inches/yard. $15 \text{ yd} \times \frac{36 \text{ in}}{1 \text{ yd}} = 540 \text{ in}$
- 72 in
- 102 ft
- 15840 yd
- 540 in
More Information
Here's some extra info: 1 foot = 12 inches 1 yard = 3 feet 1 mile = 1760 yards
Tips
A common mistake is using the wrong conversion factor or multiplying when you should divide (or vice versa). Always double-check the conversion factor and make sure your units cancel out correctly.
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