meter (m) = 3.28 feet (ft) 1000 meters (ms) kilometer (km) 1 kilometer (km) = .62 miles (mi) mile (mi) = 1.61 kilometers (km) fathom (f) = 6 feet (ft) mile (mi) = 5,280 feet How many kilometers are there in 50 miles? How many miles are there in 3.8 kilometers? How many meters are there in 25,321 feet? How many miles are there in 23,865 meters? How many fathoms are there in 128 meters? How many meters are there in 13,000 fathoms? How many miles are there in 1.75 kilometers? How many meters are there in 3,050 fathoms? How many kilometers are there in 56 miles? 10. How many feet are there in 2.7 kilometers? 11 _ How many meters are there in 13.9 miles? 12_ How many kilometers are there in 10,975 feet? 13_ How many fathoms are there in 11.5 kilometers? 14. How many kilometers are there in 15,900 fathoms?
The Correct Answer and Explanation is:
Let’s solve each of these questions step by step using the conversion factors provided.
1. How many kilometers are there in 50 miles?
We know that 1 mile = 1.61 kilometers. 50 miles×1.61 km/mile=80.5 kilometers50 \text{ miles} \times 1.61 \text{ km/mile} = 80.5 \text{ kilometers}50 miles×1.61 km/mile=80.5 kilometers
2. How many miles are there in 3.8 kilometers?
We know that 1 kilometer = 0.62 miles. 3.8 kilometers×0.62 miles/km=2.36 miles3.8 \text{ kilometers} \times 0.62 \text{ miles/km} = 2.36 \text{ miles}3.8 kilometers×0.62 miles/km=2.36 miles
3. How many meters are there in 25,321 feet?
We know that 1 meter = 3.28 feet. 25,321 feet÷3.28 feet/meter=7,727.2 meters25,321 \text{ feet} \div 3.28 \text{ feet/meter} = 7,727.2 \text{ meters}25,321 feet÷3.28 feet/meter=7,727.2 meters
4. How many miles are there in 23,865 meters?
We know that 1 meter = 3.28 feet and 1 mile = 5,280 feet.
First, convert meters to feet: 23,865 meters×3.28 feet/meter=78,297.6 feet23,865 \text{ meters} \times 3.28 \text{ feet/meter} = 78,297.6 \text{ feet}23,865 meters×3.28 feet/meter=78,297.6 feet
Now, convert feet to miles: 78,297.6 feet÷5,280 feet/mile=14.85 miles78,297.6 \text{ feet} \div 5,280 \text{ feet/mile} = 14.85 \text{ miles}78,297.6 feet÷5,280 feet/mile=14.85 miles
5. How many fathoms are there in 128 meters?
We know that 1 fathom = 6 feet, and 1 meter = 3.28 feet.
First, convert meters to feet: 128 meters×3.28 feet/meter=419.84 feet128 \text{ meters} \times 3.28 \text{ feet/meter} = 419.84 \text{ feet}128 meters×3.28 feet/meter=419.84 feet
Now, convert feet to fathoms: 419.84 feet÷6 feet/fathom=69.97 fathoms419.84 \text{ feet} \div 6 \text{ feet/fathom} = 69.97 \text{ fathoms}419.84 feet÷6 feet/fathom=69.97 fathoms
6. How many meters are there in 13,000 fathoms?
We know that 1 fathom = 6 feet and 1 meter = 3.28 feet.
First, convert fathoms to feet: 13,000 fathoms×6 feet/fathom=78,000 feet13,000 \text{ fathoms} \times 6 \text{ feet/fathom} = 78,000 \text{ feet}13,000 fathoms×6 feet/fathom=78,000 feet
Now, convert feet to meters: 78,000 feet÷3.28 feet/meter=23,785.4 meters78,000 \text{ feet} \div 3.28 \text{ feet/meter} = 23,785.4 \text{ meters}78,000 feet÷3.28 feet/meter=23,785.4 meters
7. How many miles are there in 1.75 kilometers?
We know that 1 kilometer = 0.62 miles. 1.75 kilometers×0.62 miles/km=1.085 miles1.75 \text{ kilometers} \times 0.62 \text{ miles/km} = 1.085 \text{ miles}1.75 kilometers×0.62 miles/km=1.085 miles
8. How many meters are there in 3,050 fathoms?
We know that 1 fathom = 6 feet and 1 meter = 3.28 feet.
First, convert fathoms to feet: 3,050 fathoms×6 feet/fathom=18,300 feet3,050 \text{ fathoms} \times 6 \text{ feet/fathom} = 18,300 \text{ feet}3,050 fathoms×6 feet/fathom=18,300 feet
Now, convert feet to meters: 18,300 feet÷3.28 feet/meter=5,579.3 meters18,300 \text{ feet} \div 3.28 \text{ feet/meter} = 5,579.3 \text{ meters}18,300 feet÷3.28 feet/meter=5,579.3 meters
9. How many kilometers are there in 56 miles?
We know that 1 mile = 1.61 kilometers. 56 miles×1.61 km/mile=90.16 kilometers56 \text{ miles} \times 1.61 \text{ km/mile} = 90.16 \text{ kilometers}56 miles×1.61 km/mile=90.16 kilometers
10. How many feet are there in 2.7 kilometers?
We know that 1 kilometer = 3,280.84 feet (since 1 meter = 3.28 feet). 2.7 kilometers×3,280.84 feet/km=8,867.26 feet2.7 \text{ kilometers} \times 3,280.84 \text{ feet/km} = 8,867.26 \text{ feet}2.7 kilometers×3,280.84 feet/km=8,867.26 feet
11. How many meters are there in 13.9 miles?
We know that 1 mile = 5,280 feet and 1 meter = 3.28 feet.
First, convert miles to feet: 13.9 miles×5,280 feet/mile=73,512 feet13.9 \text{ miles} \times 5,280 \text{ feet/mile} = 73,512 \text{ feet}13.9 miles×5,280 feet/mile=73,512 feet
Now, convert feet to meters: 73,512 feet÷3.28 feet/meter=22,414.6 meters73,512 \text{ feet} \div 3.28 \text{ feet/meter} = 22,414.6 \text{ meters}73,512 feet÷3.28 feet/meter=22,414.6 meters
12. How many kilometers are there in 10,975 feet?
We know that 1 kilometer = 3,280.84 feet. 10,975 feet÷3,280.84 feet/km=3.34 kilometers10,975 \text{ feet} \div 3,280.84 \text{ feet/km} = 3.34 \text{ kilometers}10,975 feet÷3,280.84 feet/km=3.34 kilometers
13. How many fathoms are there in 11.5 kilometers?
We know that 1 kilometer = 1,000 meters, 1 meter = 3.28 feet, and 1 fathom = 6 feet.
First, convert kilometers to feet: 11.5 kilometers×1,000 meters/km=11,500 meters11.5 \text{ kilometers} \times 1,000 \text{ meters/km} = 11,500 \text{ meters}11.5 kilometers×1,000 meters/km=11,500 meters
Convert meters to feet: 11,500 meters×3.28 feet/meter=37,720 feet11,500 \text{ meters} \times 3.28 \text{ feet/meter} = 37,720 \text{ feet}11,500 meters×3.28 feet/meter=37,720 feet
Now, convert feet to fathoms: 37,720 feet÷6 feet/fathom=6,286.67 fathoms37,720 \text{ feet} \div 6 \text{ feet/fathom} = 6,286.67 \text{ fathoms}37,720 feet÷6 feet/fathom=6,286.67 fathoms
14. How many kilometers are there in 15,900 fathoms?
We know that 1 fathom = 6 feet, 1 meter = 3.28 feet, and 1 kilometer = 1,000 meters.
First, convert fathoms to feet: 15,900 fathoms×6 feet/fathom=95,400 feet15,900 \text{ fathoms} \times 6 \text{ feet/fathom} = 95,400 \text{ feet}15,900 fathoms×6 feet/fathom=95,400 feet
Now, convert feet to meters: 95,400 feet÷3.28 feet/meter=29,087.8 meters95,400 \text{ feet} \div 3.28 \text{ feet/meter} = 29,087.8 \text{ meters}95,400 feet÷3.28 feet/meter=29,087.8 meters
Finally, convert meters to kilometers: 29,087.8 meters÷1,000 meters/km=29.09 kilometers29,087.8 \text{ meters} \div 1,000 \text{ meters/km} = 29.09 \text{ kilometers}29,087.8 meters÷1,000 meters/km=29.09 kilometers
