Problems and solutions about Conversion of units – problems and solutions
1. Half a liter of fresh milk mixed with pudding sauce, then what is the volume of milk to be put in pudding sauce…
A. 5000 ml
B. 500 cc
C. 50 dm3
D. 5 m3
Known :
Volume of milk = 0.5 liter
Wanted : 0.5 liter = ….. ml = ….. cm3 (cc) = ….. dm3 = ….. m3
Solution :
1 liter = 1000 milliliter (1000 ml)
1 liter = 0.001 m3 = 1 dm3 = 1000 cm3 (1000 cc)
0.5 liter = (0.5)(1000 ml) = 500 ml
0.5 dm3 = (0.5)(1000 cc) = 500 cc
0.5 liter = 0.5 dm3 = 0.0005 m3
The correct answer is B.
2. If into 100 milliliters of liquid milk added 250 cc of water then how many mixtures are produced.
A. 12.5 dm3
B. 1.25 dm3
C. 3.5 dm3
D. 0.35 dm3
Known :
Volume of milk = 100 ml
Volume of water = 250 cc = 250 cm3
Wanted : 100 ml + 250 cc = ….. dm3
Solution :
ml = milliliter
cc = cm3 = cubic centimeter
dm3 = cubic decimeter
1 dm3 = 1 liter = 1000 milliliters so that 100 milliliters = 100/1000 liters = 1/10 liters = 0.1 liter = 0.1 dm3
1 dm3 = 1000 cm3 so that 250 cm3 = 250/1000 dm3 = 1/4 dm3 = 0.25 dm3
100 ml + 250 cm3 = 0.1 dm3 + 0.25 dm3 = 0.35 dm3
The correct answer is D.
3. A classroom whose length is 10 m and its width is 8 m, using ceramic as its floor. The size of the ceramic is 20 cm x 20 cm. The amount of ceramics on the floor in the room is ….
A. 20
B. 200
C. 2000
D. 20000
Known :
The size of a room :
Length = 10 meters
Width = 8 meters
Area of a room = 10 m x 8 m = 80 m2
The size of a ceramic :
Length = 20 cm
Width = 20 cm
Area of a ceramic = 20 cm x 20 cm = 400 cm2
Wanted : The number of ceramic used as the floor
Solution :
1 m = 100 cm
1 m2 = 10,000 cm2
So 80 m2 = 80 x 10,000 cm2 = 800,000 cm2
Number of ceramics = area of a room / area of a ceramic
Number of ceramics = 800,000 cm2 / 400 cm2
Number of ceramics = 2000
The correct answer is C.
4. Every second as much as 4 cc of water dripped from a aquarium into a 5 liters container. The container is fully filled during ….. seconds.
A. 125 seconds
B. 200 seconds
C. 1250 seconds
D. 2000 seconds
Known :
1 liter = 1 dm3 = 1000 cm3
Volume of water = 4 cc = 4 cm3
Volume of container = 5 liters = 5 dm3 = 5 x 1000 cm3 = 5000 cm3
Wanted: Time interval the container full filled with water
Solution :
5000 cm3 / 4 cm3 = 1250 seconds
The correct answer is C.
5. Mother bought drinking water 2 gallons (1 gallon = 19 liters) with price $2. If the volume of a cup of water is 200 ml, then determine the price of a cup of water.
Known :
1 gallon = 19 liters
2 gallon = 2 x 19 liters = 38 liters
1 liters = 1000 milliliters
38 liters = 38 x 1000 milliliters = 38,000 milliliters
1 glass of water = 200 milliliter
Wanted : Price of a cup of water
Solution :
2 gallon of water = 38 liters = 38,000 milliliters
1 cup of water = 200 milliliters
38,000 ml / 200 ml = 190
In 2 gallon of water there are 190 cup of water.
Price of 2 gallon of water = $2
Price of 1 cup of water = $2 / 190 = $0.01
1. Problem: Convert 50 kilometers to miles. (1 mile ≈ 1.60934 km)
Solution: 50 km × (1 mile/1.60934 km) = 31.07 miles.
2. Problem: You have 2 liters of water. How many milliliters is that? (1 liter = 1,000 milliliters)
Solution: 2 liters × 1,000 ml/liter = 2,000 ml.
3. Problem: A baby weighs 8 pounds 5 ounces. Convert this to grams. (1 pound = 453.59237 grams and 1 ounce = 28.3495 grams)
Solution: 8 pounds × 453.59237 g/pound + 5 ounces × 28.3495 g/ounce = 3,628.73896 grams + 141.7475 grams = 3,770.48646 grams.
4. Problem: A tank holds 100 gallons of water. Convert this to liters. (1 gallon ≈ 3.78541 liters)
Solution: 100 gallons × 3.78541 liters/gallon = 378.541 liters.
5. Problem: Convert 250 centimeters to meters. (100 centimeters = 1 meter)
Solution: 250 cm ÷ 100 cm/meter = 2.5 meters.
6. Problem: A car travels at a speed of 55 miles per hour. Convert this speed to feet per second. (1 mile = 5,280 feet and 1 hour = 3,600 seconds)
Solution: 55 miles × 5,280 feet/mile ÷ 3,600 seconds = 81.78 feet/second.
7. Problem: A recipe requires 200 grams of sugar. Convert this to ounces. (1 ounce ≈ 28.3495 grams)
Solution: 200 grams × (1 ounce/28.3495 grams) = 7.055 ounces.
8. Problem: A room has an area of 300 square feet. Convert this to square meters. (1 square foot ≈ 0.092903 square meters)
Solution: 300 square feet × 0.092903 square meters/square foot = 27.8709 square meters.
9. Problem: You have a rope that is 150 inches long. Convert this to yards. (1 yard = 36 inches)
Solution: 150 inches ÷ 36 inches/yard = 4.1667 yards.
10. Problem: A bottle contains 500 milliliters of oil. Convert this to quarts. (1 quart ≈ 946.353 milliliters)
Solution: 500 milliliters × (1 quart/946.353 milliliters) = 0.5283 quarts.
