Grade 4 Conversion of Units

Transcription

1 ID : us-4-conversion-of-units [1] Grade 4 Conversion of Units For more such worksheets visit Answer t he quest ions (1) A cuboid container is 9 m long, 2 m wide and 6 m high. How many litres of water can the tank hold? (2) The f ence of a hospital is being repainted by a group of 4 workers. If 90.5 m of the f ence is already painted, and each worker can paint 5 m 200 mm of the f ence every hour, what is the total length of the f ence that would have been painted af ter an hour? (3) Solve the f ollowing: A) Convert 49 l 69 hl 22 kl to cl Convert 72 dg 61 g 72 kg to hg Convert 45 dg 97 g 32 kg to mg Convert 78 hl 21 ml 85 l to dl (4) An elevator in a mall can carry 16 adults or 48 children at one time. Suppose there are 9 adults in the lif t, how many additional children can be accomodated? Choose correct answer(s) f rom given choice (5) A large container in a depot contains 187 litres and 606 millilitre of petrol. Each of 3 workers added 4 L 362 ml of petrol to the container. What is the amount of petrol in the container now? a. 203 l 603 ml b. 201 l 915 ml c. 197 l 459 ml d. 200 l 692 ml (6) A tank of water contains 93 liters and 430 milliliters of water. There's a hole in the bottom of the tank through which 4 l 590 ml water leaks away every hour. How many liters of water are lef t in the tank af ter 4 hours? a. 72 liters 986 milliliters b. 75 liters 70 milliliters c. 71 liters 689 milliliters d. 73 liters 403 milliliters (7) In an orchard, kg of bananas are picked by the evening. Over the next hour, 8 workers add 5 kg 600 g of bananas each, and 7 workers remove 10.1 kg of bad f ruits each. What is the total weight of bananas remaining? a kg b kg c kg d kg Fill in the blanks (8) Convert the units: A) 4 litre = centilitre 10 meter = millimeter

2 ID : us-4-conversion-of-units [2] 15 gram = decigram 12 meter = centimeter (9) Convert the units: A) 5 decigram = gram 3 milligram = gram 5 decilitre = litre 3 millilitre = litre (10) Convert the units: A) 10 gram = kilogram 20 gram = kilogram 12 meter = decameter 18 gram = kilogram (11) If 30 cm of the pole is buried in the ground, the total length of the pole will be cms. (12) Alexander takes a bus and travels 48 km 140 m. He then travels 9.38 km by taxi, and walks 4 km 40 m. The total distance he travels is km m. (13) Convert the units: A) 16 decimeter = meter 10 decameter = meter 20 kilogram = centigram centilitre = hectalitre (14) A school is collecting corn f or the victims of a disaster. So f ar they have collected 86 kg and 510 g of corn. An additional 9 students now give 1 kg 280 g of corn each. The total amount of corn collected is kg g. (15) The total length of three sticks is m. If the length of the two sticks are 4 m 21 cm, and 5 m 23 cm, The length of the third stick is m cm Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 ID : us-4-conversion-of-units [3]

4 Answers ID : us-4-conversion-of-units [4] (1) litres Length of the cuboid, L = 9 m Width of the cuboid, W = 2 m Height of the cuboid, H = 6 m Capacity of the tank = L W H = m 3 = 108 m 3 Since, 1 m 3 = 1000 litres Now, the capacity of the tank = litres = litres Theref ore, the volume of the water that tank can hold is litres. (2) m (3) A) We know that, 1 Hectoliter(hl) = 100 liter(l) 1 Kiloliter(kl) = 1000 liter(l) 69 hl = l = 6900 liter(l) 22 kl = l = liter(l) Theref ore, 49 l 69 hl 22 kl = 49 l l l = l Since, 1 liter = 100 Centiliter(cl) Theref ore, l = cl = cl Thus, 49 l 69 hl 22 kl is equal to cl.

5 ID : us-4-conversion-of-units [5] We know that, 1 Decigram(dg) = 0.1 gram(g) 1 Kilogram(kg) = 1000 gram(g) 72 dg = g = 7.2 gram(g) 72 kg = g = gram(g) Theref ore, 72 dg 61 g 72 kg = 7.2 g + 61 g g = g Since, 1 gram = 0.01 Hectogram(hg) Theref ore, g = hg = hg Thus, 72 dg 61 g 72 kg is equal to hg We know that, 1 Decigram(dg) = 0.1 gram(g) 1 Kilogram(kg) = 1000 gram(g) 45 dg = g = 4.5 gram(g) 32 kg = g = gram(g) Theref ore, 45 dg 97 g 32 kg = 4.5 g + 97 g g = g Since, 1 gram = 1000 Milligram(mg) Theref ore, g = mg = mg Thus, 45 dg 97 g 32 kg is equal to mg.

6 ID : us-4-conversion-of-units [6] We know that, 1 Hectoliter(hl) = 100 liter(l) 1 Milliliter(ml) = liter(l) 78 hl = l = 7800 liter(l) 21 ml = l = liter(l) Theref ore, 78 hl 21 ml 85 l = 7800 l l + 85 l = l Since, 1 liter = 10 Deciliter(dl) Theref ore, l = dl = dl Thus, 78 hl 21 ml 85 l is equal to dl. (4) 21 According to the question, an elevator in a mall can carry 16 adults or 48 children at one time. It means that weight of 16 adults is equal to the weight of 48 children. Theref ore the average weight of an adult is equal to the average weight of 48 = 3 16 children. Now, adults in the lif t = 9 Number of the additional adults that lif t can carry = 16-9 = 7 Theref ore the number of additional children that lif t can carry = 7 3 = 21 T heref ore, the number of additional children that can be accommodated are 21.

7 (5) d. 200 l 692 ml ID : us-4-conversion-of-units [7] Lets convert the quantity of the petrol in the same unit i.e. litres. We know that 1 ml = 1/1000 l Total petrol in the container = 187 litres 606 millilitre = /1000 litres = litres The petrol added to the container by each worker = 4 litre 362 ml = /1000 litres = litres The petrol added to the container by 3 workers = * 3 = litres Step 5 Total amount of petrol in the container = = litre = 200 litre 692 ml Step 6 Theref ore, the total amount of petrol in the container is 200 litre 692 ml. (6) b. 75 liters 70 milliliters Amount of water leaked in one hour = 4 liters and 590 milliliters Theref ore water leaked in 4 hours = = liters There remaining water, = Original amount of water - leaked water = = liters = 75 liters 70 milliliters

8 (7) d kg ID : us-4-conversion-of-units [8] The weight of bananas picked by the evening = kg The bananas added in the next hour = 5 kg 600 g by each of the 8 workers = /1000 kg by each of the 8 workers = kg by each of the 8 workers = kg = 44.8 kg The bananas removed = 10.1 kg by each of the 7 workers = kg = 70.7 kg Total weight of bananas = = kg Step 5 Theref ore, the f inal weight of the bananas is kg. (8) A) (9) A) (10) A)

9 (11) 530 ID : us-4-conversion-of-units [9] The total length of the pole is the sum of lengths of the part above the ground and the part buried in the ground. By looking at the f igure, we know the length of the pole above the ground = 5 m = 500 cm. The length of the pole buried in the ground = 30 cm. Total length of the pole = 500 cm + 30 cm = 530 cms (12) Distance Alexander traveled by bus = 48 km 140 m Distance Alexander traveled by taxi = 9.38 km Distance Alexander covered by walk = 4 km 40 m T otal distance traveled by the Alexander = Distance traveled by bus + Distance traveled by taxi + Distance traveled by walk = 48 km 140 m km + 4 km 40 m = km km km = km Step 5 Theref ore, the total distance traveled by Alexander is km. (13) A)

10 (14) ID : us-4-conversion-of-units [10] According to the question, a school is collecting corn f or the victims of a disaster. Total corn collected by the school = 86 kg 510 g = kg Extra corn added = 1 kg 280 g by 9 students each = 1.28 kg by 9 students each = = Now, total amount of corn collected = kg kg = kg = 98 kg 30 g Theref ore, the total amount of corn collected by the school is 98 kg 30 g. (15) 6 55 Total length of the three sticks = m Length of the one stick = 4 m 21 cm = /100 m = 4.21 m Length of the second stick = 5 m 23 cm = /100 =5.23 m Length of the third stick = Total length of the three stick - Length of the f irst stick - Length of the second stick = m = 6.55 m = 6 m 55 cm Step 5 Theref ore, the length of the third stick is 6 m 55 cm.