Class 5 Mathematics · Chapter 8

8. Weight and Capacity

Solutions to all Check! Check!, Let Us Find, Let Us Do, Let Us Compare and Let Us Solve questions. CBSE / NCERT Class 5 Maths Mela.

Check! Check!

1Anu has recorded the weights of the items in her house. Put a tick against them if they look correct.

Item	Recorded weight	Correct?
1. Iron Almirah	40 g	✗ (should be about 40 kg)
2. Bed	60 kg	✓
3. Rice Bag	5 kg	✓
4. Sofa	30 g	✗ (should be about 30 kg)
5. Bucket	1 kg 800 g	✓
6. Water Bottle	650 g	✓
7. Refrigerator	50 g	✗ (should be about 50 kg)

Let Us Do

1Read the scales. Write the correct weight in the space given below.

(a) 600 g
(b) 1 kg 800 g
(c) 2 kg 500 g

(d) 2 kg 600 g
(e) 150 g
(f) 660 g

First see what each big mark stands for on that scale. Then count the small marks after the last big mark the pointer has crossed.

Different Units but Same Measure

1Match the bags that have the same weights.

Weighing Balance 1	Weighing Balance 2
5 kg	5,000 g
10 kg	10,000 g
3 kg	3,000 g
6 kg	6,000 g
25 kg	25,000 g
30 kg	30,000 g

1 kg = 1,000 g. So, multiply kilograms by 1,000 to get grams.

2Complete the double number line.

1 kg, 3 kg, 8 kg, 15 kg, 20 kg, 25 kg, 30 kg

1,000 g, 3,000 g, 8,000 g, 15,000 g, 20,000 g, 25,000 g, 30,000 g (× 1,000)

Let Us Find

1Sugar weighs 5 kg 50 g. Shamim says 5,050 g and Rehan says 5,500 g. Who is right and why?

Shamim is right.

5 kg = 5,000 g. So, 5 kg 50 g = 5,000 g + 50 g = 5,050 g.

2Complete the conversions by filling in the blanks.

Number line: 1 kg = 1,000 g, 3 kg = 3,000 g, 4 kg = 4,000 g, 7 kg = 7,000 g, 8 kg = 8,000 g, 10 kg = 10,000 g, 12 kg = 12,000 g

(a) 7 kg 67 g = 7,067 g
(b) 3 kg 300 g = 3,300 g
(c) 8 kg 69 g = 8,069 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

1Harpreet’s family carried fruits for a picnic. Which one has the highest and least weight? Arrange in descending order.

(a) Highest weight: Watermelon (3 kg)

(b) Least weight: Apples (1 kg 250 g)

2Compare 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 = 10,035 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

Milligram — Let Us Find

1If a sugar sachet weighs 5 g, how much will it be in milligrams?

1 g = 1,000 mg. So, 5 g = 5,000 mg.

2Complete the double number line.

1,000 mg, 5,000 mg, 12,000 mg, 20,000 mg, 25,000 mg, 31,000 mg

1 g, 5 g, 12 g, 20 g, 25 g, 31 g

3A goldsmith has made an ornament weighing 10 g 500 mg. What will its weight be in milligrams?

10 g 500 mg = 10,000 mg + 500 mg = 10,500 mg

4Compare 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

5An elephant weighs 5,000 kg. A blue whale weighs 40 times as much. Fill in the blank.

5,000 kg × 40 = 2,00,000 kg

6Answer the following questions.

(a) 5,000 kg = 50 quintals = 5 tonnes

(b) 9,000 kg = 90 quintals

King’s Weight

1The king donates wheat grains equal to 10 times his weight on his birthday.

(a) 800 kg ÷ 10 = 80 kg (current weight)

(b) 780 kg ÷ 10 = 78 kg (weight last year)

The Grocery Store

1Rathna bought 2 kg 500 g rice for daily use and 1 kg 750 g for Pongal. How much rice did she buy? How much extra rice did she buy for household use than for Pongal?

Total = 2 kg 500 g + 1 kg 750 g = 4 kg 250 g

Extra for household = 2 kg 500 g − 1 kg 750 g = 2,500 g − 1,750 g = 750 g

Let Us Do

1A restaurant uses 5 kg 200 g, 8 kg 900 g and 12 kg 600 g of onions in 3 days. What is the total weight?

5 kg 200 g + 8 kg 900 g + 12 kg 600 g = 25 kg 1,700 g = 26 kg 700 g

2Aarav lifts two baskets of apples weighing 2 kg 100 g and 3 kg 950 g. What is the total weight?

2 kg 100 g + 3 kg 950 g = 5 kg 1,050 g = 6 kg 50 g

34 kg 500 g of sand is used from a sack of 10 kg. How much sand is left?

10 kg − 4 kg 500 g = 5 kg 500 g

4A rice sack weighs 9 kg 750 g. After some rice is used, it weighs 3 kg 700 g. How much rice was used?

9 kg 750 g − 3 kg 700 g = 6 kg 50 g

5A truck delivered 17 kg 900 g in the morning and 12 kg 700 g in the afternoon. How much in total?

17 kg 900 g + 12 kg 700 g = 29 kg 1,600 g = 30 kg 600 g

6A box of books weighs 14 kg 750 g. After removing some books, it weighs 10 kg 500 g. What is the weight of the books removed?

14 kg 750 g − 10 kg 500 g = 4 kg 250 g

7A Gurdwara kitchen bought 65 kg flour and used 42 kg 275 g. Next day, 52 kg 500 g more was bought. What is the total flour now available?

Flour left = 65 kg − 42 kg 275 g = 22 kg 725 g

Flour now = 22 kg 725 g + 52 kg 500 g = 75 kg 225 g

More Operations on Weight

1A sack of potatoes weighs 10 kg 500 g. What is the weight of 4 sacks? A 4 kg 800 g box of nuts is shared into 4 boxes. What does each box weigh?

4 × 10 kg 500 g = 40 kg + 2,000 g = 42 kg

4,800 g ÷ 4 = 1,200 g (1 kg 200 g)

Let Us Do

1Find the total cost of each item.

Item	Weight	Cost of 1 kg	Total cost
Rice	12 kg 500 g	₹60	12 × ₹60 + ₹30 = ₹750
Flour	7 kg 250 g	₹40	7 × ₹40 + ₹10 = ₹290
Sugar	5 kg	₹45	₹225
Chana dal	3 kg 600 g	₹70	3 × ₹70 + ₹42 = ₹252
Besan	4 kg	₹60	₹240
Jaggery	1 kg 400 g	₹50	₹50 + ₹20 = ₹70

500 g is half of 1 kg, 250 g is one-fourth, 600 g is 6 tenths and 400 g is 4 tenths of 1 kg.

24 people need 500 g rice for a meal. How much rice will be needed for 8 people?

8 people = 2 × 4 people. Rice needed = 2 × 500 g = 1,000 g (1 kg)

35 kg of tomatoes cost ₹73. How much will 10 kg cost?

10 kg = 2 × 5 kg. Cost = 2 × ₹73 = ₹146

4How much would Nitesh have paid for:

(a) 16 kg newspaper at ₹8 per kg: 16 × ₹8 = ₹128

(b) 20 kg iron at ₹200 for 10 kg: 10 kg → ₹200, 20 kg → ₹400

Measuring Capacity

1How much water and milk do we need to make 2 cups of tea? Do we need 1 l of water? Is 500 ml enough?

No, 1 l of water is too much for 2 cups of tea.

Yes, 500 ml of water and milk together is enough for 2 cups of tea. About 1 cup of water and 1 cup of milk is needed.

2A bucket can hold a maximum of 20 ml of water. Is this statement correct? Which unit should be used?

No. 20 ml is very little water. A bucket holds about 20 l. We should use litres here.

Big to Small, Small to Big

1Ramiz drinks two 500 ml bottles of water at school. How much water does he drink?

Ramiz drinks 500 ml + 500 ml = 1,000 ml.

Ramiz drinks 1 l of water at school.

2Muskaan drinks 3 l of water in a day. How many times would she need to fill a 500 ml bottle?

3 l = 3,000 ml. 3,000 ÷ 500 = 6

She needs to fill the bottle 6 times. Muskaan drinks 3,000 ml of water in a day.

3Write the total capacity of the following containers.

First set: 1 l + 500 ml + 100 ml = 1 l 600 ml

Second set: 1 l + 500 ml = 1 l 500 ml

Third set: 100 ml + 100 ml + 500 ml = 0 l 700 ml

Fourth set: 1 l + 1 l + 100 ml = 2 l 100 ml

The Milkman’s Delivery

1Bhalerao’s family orders 2 l of milk. What mark will you see in the vessel marked in ml? Complete the double number line.

2 l = 2,000 ml

1 l, 2 l, 6 l, 8 l, 12 l, 14 l, 20 l, 25 l

1,000 ml, 2,000 ml, 6,000 ml, 8,000 ml, 12,000 ml, 14,000 ml, 20,000 ml, 25,000 ml

2Complete the table of milk delivered in a week.

Family	Milk in a week (l)	Quantity in ml
Arora’s	8	8,000
Nair’s	14	14,000
Shrivastava’s	12	12,000
Das’s	20	20,000
Rao’s	25	25,000

Let Us Think

1Mary and Daisy filled their bottle with 1 l 400 ml of water. One says 1,400 ml and the other says 1,040 ml. Who is correct and why?

1,400 ml is correct.

1 l = 1,000 ml. So, 1 l 400 ml = 1,000 ml + 400 ml = 1,400 ml.

2Convert and fill in the blanks.

(a) 3 l 8 ml = 3,008 ml
(b) 9 l 90 ml = 9,090 ml
(c) 14,075 ml = 14 l 75 ml

(d) 8 l 86 ml = 8,086 ml
(e) 12,200 ml = 12 l 200 ml
(f) 18,350 ml = 18 l 350 ml

Let Us Compare

1Kiran records the sale of petrol in a day. Complete the table and answer.

Vehicle	No. of vehicles	Fuel in each (l)	Total fuel (l)
Truck	3	500	1,500
Bus	6	300	1,800
Car	10	50	500
Auto Rickshaw	12	8	96
Two-wheeler	25	5	125

(a) More fuel for buses than trucks = 1,800 l − 1,500 l = 300 l

(b) Total fuel = 1,500 + 1,800 + 500 + 96 + 125 = 4,021 l

2Compare 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

3Tina bought 2 l 500 ml of petrol. Sam bought 2 l 800 ml more than Tina. How much did Sam buy? After refuelling, Sam’s gauge shows 9 l. How much fuel did his bike have before?

Sam bought 2 l 500 ml + 2 l 800 ml = 5 l 300 ml

Fuel before refuelling = 9 l − 5 l 300 ml = 3 l 700 ml

Let Us Solve

1Riya fills one 2 l bottle and four 500 ml bottles. Aarav fills three 750 ml bottles. Who filled more water and how much more?

Riya: 2 l + 4 × 500 ml = 2 l + 2 l = 4 l

Aarav: 3 × 750 ml = 2,250 ml = 2 l 250 ml

Riya filled more, by 4 l − 2 l 250 ml = 1 l 750 ml.

2A bottle of milk is poured equally into 8 glasses, leaving 120 ml in the bottle.

(a) Capacity of 8 glasses = 8 × 360 ml = 2,880 ml = 2 l 880 ml

(b) Milk in the bottle at first = 2,880 ml + 120 ml = 3,000 ml = 3 l

3A juice vendor has 5 l of orange juice. Each glass holds 250 ml.

(a) 5,000 ml ÷ 250 ml = 20 glasses

(b) 10 glasses = 2,500 ml. Juice left = 5,000 ml − 2,500 ml = 2 l 500 ml

48 l 400 ml of oil is poured equally into 7 containers. How much oil will each hold?

8,400 ml ÷ 7 = 1,200 ml = 1 l 200 ml

5One container holds 1 l 75 ml of buttermilk. How much will 8 containers hold?

8 × 1 l = 8 l and 8 × 75 ml = 600 ml

Total = 8 l 600 ml

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