Students often refer to Maths Mela Class 5 Solutions Chapter 9 Weight and Capacity Question Answer NCERT Solutions to verify their answers.
Class 5 Maths Chapter 9 Weight and Capacity Question Answer Solutions
Weight and Capacity Class 5 Maths Solutions
Class 5 Maths Chapter 9 Solutions
Let Us Do (Page 104)
Read the scales. Write the correct weight in the space given below.
Answer:
(a) 600 g
(b) 1 kg 800 g
(c) 2 kg 500 g
(d) 2 kg 600 g
(e) 150 g
(f) 660 g
Different Units but Same Measure
Bags are weighed on two different weighing balances. One weighing balance displays weight in kilograms and other displays weight in grams.
Match the bags that have the same weights. You can use the double number line given below.
Answer:
Let Us Find (Page 106)
Question 1.
Shamim and Rehan observed someone buying sugar weighing 5 kg 50 g. They thought of the quantity in grams. How much is it?
Answer:
Shamim is right, because Rehan mistakenly treating 50 g as 500 g.
5 kg 50 g = 5 x 1000 g + 50 g
= 5000 g + 50 g
= 5050 g
Question 2.
Complete the conversions by filling in the blanks. You can use the double number line given below on which some numbers have been marked.
(a) 7 kg 67 g = ___________ g
(b) 3 kg 300 g = ___________ g
(c) 8 kg 69 g = ___________ g
(d) 10,760 g = _____ kg ____ g
(e) 4,080 g = _____ kg ____ g
(f) 12,042 g = _____ kg ____ g
Answer:
(a) 7 kg 67 g = 7067 g
(b) 3 kg 300 g = 3300 g
(c) 8 kg 69 g = 8069 g
(d) 10,760 g = 10 kg 760 g
(e) 4,080 g = 4 kg 80 g
(f) 12,042 g = 12 kg 42 g
Comparison Between Different Weights (Page 107)
Question 1.
Harpreet’s family planned a picnic over the weekend. Her mother and father packed different food items to take along. The following is the list of fruits they carried.
Among the fruits they carried, which one has the
(a) highest weight? __________
(b) least weight? __________
(c) Arrange the items in descending order of their weight.
__________ __________ __________ __________
Answer:
(a) Watermelon
(b) Apples
(c) Watermelon, Mangoes, Pineapple, Apples
Question 2.
Compare the weights using <, =, > signs.
(a) 1 kg 600 g __________ 1,700 g
(b) 1 kg 600 g __________ 1 kg 60 g
(c) 10 kg 35 g __________ 10035 g
(d) 1 kg 600 g __________ 2 kg 500 g
(e) 5 kg 50 g __________ 4 kg 500 g
(f) 900 g + 7,000 g __________ 7 kg + 900 g
Answer:
(a) <
(b) >
(c) =
(d) <
(e) >
(f) =
Let Us Find (Page 108)
Question 1.
If a sugar sachet weighs 5g, how much will it be in milligrams?
Answer:
5 g = 5 × 1000 mg = 5,000 mg [1 g = 1000 mg]
Question 2.
Complete the double number line below appropriately.
Answer:
Question 3.
An ornament weighs 4 g 100 mg. What will be the weight in milligrams?
Answer:
4 g 100 mg
= 4 × 1000 mg + 100 mg (∵ 1 g = 1000 mg)
= 4000 mg + 100 mg
= 4100 mg
Question 4.
A goldsmith has made an ornament weighing 10 g 500 mg. What will its weight be in milligrams?
Answer:
10 g 500 mg = 10 × 1000 mg + 500 mg
= 10,000 mg + 500 mg
= 10,500 mg
Question 5.
Compare the weights using <, =, > signs.
(a) 20 g ___________ 200 mg
(b) 16 g 50 mg ___________ 50 g 16 mg
(c) 2,010 mg ___________ 2 g 100 mg
(d) 9,000 mg ___________ 90 g
(e) 5,000 g ___________ 7,500 g
(f) 800 mg + 88 mg ___________ 880 mg + 8 mg
Answer:
(a) >
(b) <
(c) <
(d) <
(e) <
(f) =
Question 6.
Observe the pictures given below and fill in the blanks.
Answer:
Whale weight = 40 × Elephant’s weight
= 40 × 5000 kg
= 2,00,000 kg.
Question 7.
Answer the following questions.
(a) 5,000 kg = ______ quintals = _____ tonne
(b) 9,000 kg = _____ quintals
(c) ______ kg = 8 tonnes
Answer:
(a) 5,000 kg = 50 quintals = 5 tonne [100 kg = 1 quintal]
(b) 9,000 kg = 90 quintals [1000 kg = 1 tonne]
(c) 8,000 kg = 8 tonnes
King’s Weight (Page 109)
In a kingdom, the king donates wheat grains equal to 10 times his weight on his birthday.
(a) If he donates 800 kg of wheat grain this birthday, what is his current weight? _______ kg.
(b) If he had donated 780 kg of wheat grain on his last birthday, what was his weight last year? _______ kg.
(c) How much weight did he gain in a year until this birthday?_______ kg
Answer:
King’s weight = \(\frac{donates}{10}\)
(a) Current weight of king \(\frac{800}{10}\) kg = 80 kg
(b) Weight of king last year = \(\frac{780}{10}\) kg = 78 kg
(c) Weight gained by king in 1 year = 80 kg – 78 kg = 2 kg
Let Us Do (Page 111)
Question 1.
A restaurant owner uses 5 kg 200 g, 8 kg 900 g, and 12 kg 600 g of onions over 3 days. What is the total weight of onions used by the restaurant owner in 3 days?
Answer:
Weight of onions used on day 1 = 5 kg 200 g
Weight of onions used on day 2 = 8 kg 900 g
Weight of onions used on day 3 = 12 kg 600 g
Total weight of onions used in 3 days
= 5 kg 200 g + 8 kg 900 g + 12 kg 600 g
Question 2.
Aarav is helping his grandfather at the fruit stall. He lifts two baskets of apples weighing 2 kg 100 g and 3 kg 950 g. What is the total weight of apples he lifted?
Answer:
Weight of apples in basket 1 = 2 kg 100 g
Weight of apples in basket 2 = 3 kg 950 g
Total weight of apples in both baskets = 2 kg 100 g + 3 kg 950 g
= 6 kg 50 grams
Question 3.
4 kg 500 g of sand is used from a sack weighing 10 kg. How much sand is left in the sack?
Answer:
Weight of sand in the bag = 10 kg
Weight of sand used = 4 kg 500 g
Weight of sand left = 10 kg – 4 kg 500 g
Weight of sand left = 5 kg 500 g.
Question 4.
A rice sack weighs 9 kg 750 g. After some rice is used, it weighs 3 kg 700 g. How much rice was used?
Answer:
Weight of rice in sack = 9 kg 750 g
Rice left after rice is used = 3 kg 700 g
Rice used = 9 kg 750 g – 3 kg 700 g
Rice used = 6 kg 50 g
Question 5.
A delivery truck delivered 17 kg 900 g of supplies in the morning and 12 kg 700g in the afternoon. How much total supplies did it deliver?
Answer:
Weight of supplies delivered in morning = 17 kg 900 g
Weight of supplies delivered in afternoon = 12 kg 700 g
Total weight of supplier delivered = 17 kg 900 g + 12 kg 700 g
Total weight of supplies = 30 kg 600 g
Question 6.
A box of books weighs 14 kg 750 g. After removing some books, the weight of the box is 10 kg 500 g. What is the weight of the books removed?
Answer:
Weight of books in a box = 14 kg 750 g
Weight of box after some books are removed = 10 kg 500 g
Weight of books removed = 14 kg 750 g – 10 kg 500
Weight of books removed = 4 kg 250 g
Question 7.
In a community kitchen of a Gurdwara, 65 kg of flour was purchased on one day. Out of this, 42 kg 275 g flour was used for preparing langar. The next day, an additional 52 kg 500 g of flour was bought. What is the total quantity of flour now available in the kitchen store?
Answer:
Weight of flour purchased on a day = 65 kg
Weight of flour used on the day = 42 kg 275 g
Weight of flour left at the end of day = 65 kg – 42 kg 275 g
Weight of flour left at the end of day = 22 kg 725 g
Weight of flour bought on the next day = 52 kg 500 g
Total quantity of flour in kitchen store = 22 kg 725 g + 52 kg 500 g
Let Us Do (Pages 112-113)
Question 1.
The cost of some grocery items is given in the following table. Find the total cost of each item.
Answer:
(i) Cost of 1 kg rice = ₹ 60
Weight of rice = 12 kg 500 g
Total cost of rice = 12 kg 500 g × ₹ 60 per kg
= 12 × 60 + \(\frac{500}{1000}\) × 60
= 720 + 30
= ₹ 750
(ii) Cost of 1 kg flour = ₹ 40
Weight of flour = 7 kg 250 g
= 7 kg \(\frac{250}{1000}\)kg
Total cost of flour = 7kg \(\frac{250}{1000}\) kg × ₹ 40 per day
= 7 × 40 + \(\frac{1}{2}\) × 40
= 280 + 10
= ₹ 290
(iii) Cost of 1 kg of sugar = ₹ 45
Cost of 5 kg of sugar = ₹ 45 × 5
= ₹ 225
(iv) Cost of 1 kg of chana dal = ₹ 70
Cost of 3 kg 600 g of chana dal = ₹ 70 × (3 kg 600 g)
= ₹ 70 × 3 + ₹ 70 × \(\frac{600}{1000}\)
= ₹ 210 + ₹ 42
Cost of 3 kg 600 g of chana dal = ₹ 252
(v) Cost of 1 kg of Besan = ₹ 60
Cost of 4 kg of Besan = ₹ 60 × 4 = ₹ 240
(vi) Cost of 1 kg of Jaggery = ₹ 50
Cost of 1 kg 400 g of Jaggery = ₹ 50 × (1 kg 400 g)
= ₹ 50 × (1 kg \(\frac{400}{1000}\) kg)
= ₹ 50 × 1 + ₹ 50 × \(\frac{400}{1000}\)
= ₹ 50 + ₹ 20
= ₹ 70
Question 2.
4 people need 500 g rice for a meal. How much rice will be needed for 8 people if they eat similar quantity of rice?
Answer:
4 people need 500 g of rice
8 people need 500 g × 2 of rice
= 1000 g
Question 3.
5 kg of tomatoes cost ₹ 73. How much will 10 kg of tomatoes cost?
Answer:
5 kg of tomatoes cost = ₹ 73
10 kg of tomatoes cost = ₹ 73 × 2
= ₹ 146
Question 4.
Nitesh is a scrap dealer. How much would he have paid for
(a) 16 kg of old newspaper, if he paid ₹ 8 for every 1 kg of newspaper?
(b) 20 kg iron, if he paid ₹ 200 for every 10 kg of iron?
(c) 10 kg plastic, if he paid ₹ 30 for 5 kg of plastic? Make double number lines for answering (b) and (c).
Answer:
(a) Nitesh paid for 1 kg of old newspaper = ₹ 8
Nitesh paid for 16 kg of old newspaper = ₹ 8 × 16
= ₹ 128
(b) Nitesh paid for 10 kg of iron = ₹ 200
Nitesh paid for 20 kg of iron = ₹ 200 × 2
= ₹ 400
(c) Nitesh paid for 5 kg plastic = ₹ 30
Nitesh paid for 10 kg plastic = ₹ 30 × 2
= ₹ 60
Measuring Capacity (Page 113)
Question 1.
You must have seen tea being prepared at your home. How much water and milk do we need to make 2 cups of tea?
Do we need 1 l of water to make 2 cups of tea?
Is 500 ml of water enough for 2 cups of tea?
Answer:
To make 2 cups of tea, we need
- 1 cup water
- 1 cup milk
No,
1 litre = 1000 ml and 1 cup of tea is typically about 200 – 250 ml.
∴ 1 litre of water is more than needed.
No, 500 ml is still more than needed.
Question 2.
A bucket can hold a maximum of 20 ml of water. Is this statement correct? Which unit should be used in such a situation?
Answer:
No, the statement is incorrect.
20 ml is very small – it’s about one tablespoon of water.
A bucket holds much more than that (around 10-20 litres).
Big to Small, Small to Big (Pages 113-114)
Question 1.
Ramiz brings a 500 ml water bottle to school. He drinks two bottles at school. How much water does he drink at school?
Ramiz drinks ___________ml + ___________ml = _________ml.
Ramiz drinks ____ l of water in a day.
Answer:
Ramiz drinks 500 ml + 500 ml = 1000 ml
Ramiz drinks 11 of water in a day
Question 2.
Muskaan drinks 3 l of water in a day. How many times would she need to refill a 500 ml water bottle?
Muskaan drinks ____ ml of water in a day.
Answer:
Muskaan drinks water in a day = 3 l
Her water bottle capacity = 500 ml
Total times she needed to refill bottle = \(\frac{3000}{500}\) = 6 times
Muskaan drinks 3000 ml of water in a day.
Question 3.
Write the total capacity of the following containers in each blank.
Answer:
Different Units But Same Measure (Page 114)
The Milkman’s Delivery
Khayal chacha delivers fresh cow milk to homes. Bhalerao’s family orders 21 of milk everyday.
This family has a vessel marked in ml only. What mark will you see in the vessel corresponding to 2 l?
Khayal chacha deliver the following amounts of milk each week to different families.
Dev’s family needs 1l milk every day. On Sunday, they need 500 ml more.
Quantity of milk they need on Sunday = 1l + 500 ml
= 1,000 ml + 500 ml = 1,500 ml.
Answer:
Let Us Think (Page 115)
Question 1.
Mary and Daisy filled their bottle with 11400 ml of water. They wondered about the capacity of the bottle in ml. How much is it?
Answer:
Water in the bottle = 11 400 ml
= 11 + 400 ml
= 1 × 1000 ml + 400 ml
= 1400 ml
Mary is correct, 11 400 ml = 1400 ml.
Question 2.
Convert and fill in the blanks appropriately. You can use the double number line given earlier.
(a) 3 l 8 ml = ____ ml
(b) 9 l 90 ml = ____ ml
(c) 14.075 ml = ____ l ____ ml
(d) 8 l 86 ml = ____ ml
(e) 12.200 ml =____ l ____ ml
(f) 18,350 ml = ____ l ____ ml
Answer:
(a) 3l 8 ml = 3,008 ml
318 ml = 31 + 8 ml
= 3,000 ml + 8 ml
= 3,008 ml
(b) 9 l 90 ml = 9,000 ml + 90 ml
= 9,090 ml
(c) 14,075 ml = 14,000 ml + 75 ml
= 14l 75 ml
(d) 81 88 ml = 8,000 ml + 86 ml
= 8,086 ml
(e) 12,200 ml = 12,000 ml + 200 ml
= 12 l + 200 ml
= 12 l 200 ml
(f) 18,350 ml = 18,000 ml + 350 ml
= 18 l + 350 ml
= 18 l 350 ml
Let Us Compare (Pages 115-117)
Question 1.
Kiran owns a petrol pump. She records the details of the sales of petrol in a day.
Question 2.
(a) How much more fuel is bought for buses than for trucks?
(b) What is the total quantity of fuel filled from the petrol pump on that day?
Answer:
(a) Total fuel bought for buses than for trucks = 1800 – 1500 = 300 l
(b) Total quantity of fuel filled from the petrol pump in that day
= 1500 l + 1800 l + 500 l + 96 l + 125 l
= 4021 l
Question 3.
Compare the following quantities using the signs <, =, >.
(a) 5 l 600 ml ___________ 5,400 ml
(b) 10 l 100 ml ___________ 1 l 600 ml
(c) 190 ml + 800 ml ___________ 800 ml +109 ml
(d) 3 l 600 ml ___________ 3,600 ml
(e) 4 l 50 ml ___________ 4 l 500 ml
Answer:
(a) >
(b) >
(c) >
(d) =
(e) <
Question 4.
Sam and Tina fill petrol in their bikes. Tina bought 2 l 500 ml of petrol. Sam bought 2 l 800 ml more petrol than Tina. How much petrol did Sam buy?
Answer:
Tina bought = 2 1 500 ml
Sam bought = 21 800 ml more than Tina.
Sam’s petrol = Tina’s petrol + Extra petrol
= 2500 + 2800 = 5,300 ml
Sam bought 5 l 300 ml of petrol.
Let Us Solve (Pages 118)
Question 1.
Riya is filling water bottles for a picnic. She fills one 2 l bottle and four 500 ml bottles. Her friend, Aarav fills three 750 ml bottles. Who filled more water, Riya or Aarav? How much more?
Answer:
Water filled by Riya
= 1 bottle of 2 l + 4 bottles of 500 ml
= 2 l + 4 × 500 ml
= 21 + 2,000 ml
= 2l + 2l
= 4l
Water filled by Aarav
= 3 bottle of 750 ml
= 3 × 750 ml
= 2,250 ml
= 2,000 ml + 250 ml
= 21 250 ml
Riya fills more water
Riya fills 1 l 750 ml more water.
Question 2.
A bottle of milk is poured equally into 8 glasses, leaving 120 ml of milk in the bottle.
(a) If each glass has a capacity of 360 ml, what is the total capacity of 8 glasses?
(b) How much milk was there in the bottle initially?
(c) If 11 of milk costs ₹ 40, how much will 3 l milk cost?
Answer:
(a) Capacity of 1 glass = 360 ml
(b) Milk in the bottle initially
= Capacity of 8 glasses + 120 ml
= 21 880 ml + 120 ml
Milk in the bottle initially = 3l
(c) Cost of 1l of milk = ₹ 40
Cost of 3 l of milk = ₹ 40 × 3
= ₹ 120
Question 3.
A juice vendor has a 5 l container of orange juice. Each glass has a capacity 250 ml.
(a) How many full glasses can he serve before the container becomes empty?
(b) If he has already served 10 glasses, how much juice is left?
(c) If 250 ml of juice is sold at ₹ 25, how much will he earn by selling 5 l juice?
Answer:
Capacity of container of juice = 5 l = 5000 ml
Capacity of 1 glass = 250 ml ,
(a) Number of glass that can be served
= 5000 ml ÷ 250 ml
= 20 glasses can be served before the container becomes empty.
(b) Capacity of 1 glass = 250 ml
Capacity of 10 glasses = 250 ml × 10 = 2500 ml
Juice left in container = 5000 ml – 2500 ml
= 2500 ml
= 2l 500 ml
(c) 250 ml juice is sold at ₹ 25.
This means
1 glass juice is sold for = ₹ 25
20 glasses of juice is sold for = ₹ 25 × 20 = ₹ 500
20 glasses contain 5 l juice
So, 5 l of juice is sold for ₹ 500
Question 4.
In a factory, 8 l 400 ml of oil needs to be equally poured into 7 containers for storage. How much oil will each container hold?
Answer:
Total quantity of oil = 8l 400 ml
= 8000 ml + 400 ml
= 8400 ml
Number of containers = 8400 ml ÷ 7
= \(\frac{8400}{7}\) ml
= 1,200 ml
= 1l 200 ml
Question 5.
If one container can hold 1 l 75 ml of buttermilk, how much buttermilk will be there in 8 such containers?
Use the double number line whenever needed to solve such problems.
Answer:
Quantity of buttermilk in one container = 11 75 ml
Number of containers = 8
Quantity of buttermilk in 8 containers = 8 × 1l 15 ml
= 8 × (1000 ml + 75 ml)
= 8 × 1075 ml
= 8600 ml
