4.04 Converting units
The ratio of miles to kilometers is 1:1.6. How many kilometers are equal to 2 miles?
The ratio of ounces to grams is 1:28. How many grams are equal to 4\text{ oz}?
The ratio of kilograms to ounces is 1:2.2. How many ounces are equal to 10\text{ kg}?
The ratio of pounds to kilograms is 1:2.2. How many kilograms are equal to 20\text{ lbs}?
To convert inches to centimeters, we can use the following table:
Complete the table.
Using the table, convert 11\text{ in} to centimeters.
Using the table, convert 75\text{ cm} to inches.
| Inches | Centimeters |
|---|---|
| 1 | 2.5 |
| 5 | |
| 3 | |
| 4 | |
| 12.5 |
Using the conversion 1 \text{ oz} = 28 \text{ g}, convert the following to ounces to two decimal places:
60\text{ g}
100\text{ g}
45\text{ g}
200\text{ g}
150\text{ g}
280\text{ g}
350\text{ g}
1200\text{ g}
Using the conversion 1\text{ kg} = 2.2 \text{ lbs}, convert the following to two decimal places:
3000\text{ lbs} to kilograms
3 \text{ kg} to pounds
14\text{ lbs} to kilograms
5.5 \text{ kg} to pounds
25 \text{ lbs} to kilograms
3 \text{ kg} to pounds
187\text{ lbs} to kilograms
115 \text{ kg} to pounds
1 \text{ gal} is approximately 3.8 \text{ L}.
Write liters to gallons as a ratio in simplest form.
How many liters would a 10 \text{ gal} vat hold?
1 \text{ ft} is approximately 0.3 \text{ m}.
Write feet to meters as a ratio in simplest form.
How many meters would a 100 \text{ ft} garden be?
The tallest hotel in the world is 390\text{ m} tall. Using the conversion 1 \text{ ft} = 30 \text{ cm}, find the height of the hotel in feet.
To ride the scariest roller coasters in an amusement park, you need to be over 130\text{ cm} tall.
If 1 \text{ in} = 2.5 \text{ cm}, convert 130 \text{ cm} to inches.
Convert 130\text{ cm} to feet and inches.
5 \text{ mph} is approximately 8 \text{ kph}.
Write miles per hour to kilometers per hour as a ratio.
Sophia is traveling 16 \text{ kph}. What is this speed in miles per hour?
1 \text{ lb} is approximately 0.45 \text{ kg}.
Write pounds to kilograms as a ratio in simplest form.
Paul wants to send a parcel that weighs 5 \text{ lbs}. What is this weight in kilograms?
It costs \$2 per kilogram to send a parcel. Find the cost of sending Paul's parcel.
Six people want to use a lift. They weigh 85\text{ kg}, 84\text{ kg}, 63 \text{ kg}, 109 \text{ kg}, 72 \text{ kg}, and 88\text{ kg}. The lift has a sign saying it can carry up to 1000\text{ lbs}.
If 1\text{ kg} = 2.2 \text{ lbs}, calculate the combined weight of the six people in pounds.
Is their combined weight over the recommended limit?
The world’s heaviest pumpkin was grown in America and weighs just over 2000\text{ lbs}. Using the conversion 1\text{ kg} = 2.2 \text{ lbs}, convert the weight of the pumpkin in kilograms to one decimal place.
Jean-Paul is on holiday in England and he sees a road sign that says it is 120 \text{ mi} to Nottingham. If 5 \text{ mi} is approximately 8 \text{ km}, how many kilometers is Jean-Paul from Nottingham?
Healthy eating is a good idea but on TV recently, a man tried and failed to eat a 74\text{ oz} steak.
If 1\text{ oz} = 28.35 \text{ g}, what was the exact weight of the steak in grams?
Convert the answer from part (a) into kilograms to two decimal places.
If, instead of eating a steak, the TV presenter had eaten apples that weighed about 100\text{ g} each, how many apples would he have had to eat instead?
How long does a 50-mile journey would take if you were traveling at 100 \text{ mph}?