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Chapter 11 of 14
NCERT Solutions

Filling and Lifting

CBSE · Class 3 · Mathematics

NCERT Solutions for Filling and Lifting — CBSE Class 3 Mathematics.

45 questions56 flashcards5 concepts

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34 Questions Solved · 13 Sections

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Whose Glass Holds More? — Let us Discuss

1Who drank the most milk?Show solution
Given: When the milk from all three glasses is poured into same-sized glasses, we can compare the levels directly.

From the picture, Ritu's same-sized glass shows the highest milk level.

Answer: Ritu drank the most milk.

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2Who drank the least milk?Show solution
Given: The three same-sized glasses show different levels of milk after pouring.

From the picture, Monu's same-sized glass shows the lowest milk level.

Answer: Monu drank the least milk.

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Fill in the Blanks and Tick — Questions 3 & 4

3Fill in the blanks with 'more' or 'less'.
(a) Nita's glass holds ………… milk than Monu's glass.
(b) Monu's glass holds ………… milk than Nita's glass.
(c) Ritu's glass holds ………… milk than Nita's glass.
Show solution
Concept: We compare the levels of milk in the same-sized glasses after pouring.

From the picture, the order from most to least is: Ritu > Nita > Monu.

(a) Nita's glass holds more milk than Monu's glass.
(Reason: Nita's level is higher than Monu's level.)

(b) Monu's glass holds less milk than Nita's glass.
(Reason: Monu's level is lower than Nita's level.)

(c) Ritu's glass holds more milk than Nita's glass.
(Reason: Ritu's level is the highest of all three.)

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4Tick the right name.
(a) Nita/Monu/Ritu's glass holds the most milk.
(b) Nita/Monu/Ritu's glass holds the least milk.
Show solution
Concept: The glass whose same-sized comparison glass has the highest level holds the most milk, and the one with the lowest level holds the least.

(a) ☑ Ritu's glass holds the most milk.

(b) ☑ Monu's glass holds the least milk.

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Let us Do — Three Vessels Activity

1Fill in the blanks with 'the most' or 'the least'.
(a) The glass holds ………… water.
(b) The bottle holds ………… water.
Show solution
Concept: Among the three vessels — small bowl, glass, and bottle — the bottle is the largest and the small bowl is the smallest. The glass is in between.

(a) The glass holds the least water.
(Note: Among glass and bottle, the glass holds less. If the small bowl is the reference unit, the glass holds more than the bowl but less than the bottle. Based on the activity context where the glass is being filled by bowls and the bottle by glasses, the glass holds less than the bottle.)

Standard expected answer based on the activity:
(a) The glass holds the least water. *(smallest vessel among glass and bottle)*
(b) The bottle holds the most water. *(largest vessel)*

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2Name the vessels that are used in your home that can store more water than your bottle.Show solution
This is an activity-based/open-ended question. Students should look around their homes and identify larger vessels.

Sample Answer: Vessels that can store more water than a bottle include:
- Bucket
- Drum / large container
- Matka (earthen pot)
- Large jug or pitcher
- Overhead water tank

*(Answers will vary depending on the bottle size and vessels available at home.)*

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Let us Do — Ladle, Bowl, Glass, Jug Activity

1How many ladles fill the bowl?Show solution
This is an activity-based question that depends on the sizes of the ladle and bowl shown in the picture.

Concept: A ladle is smaller than a bowl, so several ladles are needed to fill the bowl.

Sample Answer: Based on the picture, approximately 4 ladles fill the bowl.
*(Actual answer depends on the sizes shown in the figure. Students should pour water using the ladle into the bowl and count the number of times.)*

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2How many glasses can be filled by the jug?Show solution
This is an activity-based question depending on the sizes shown in the picture.

Concept: A jug holds more water than a glass, so it can fill multiple glasses.

Sample Answer: Based on the picture, the jug can fill approximately 4 glasses.
*(Students should pour water from the jug into the glass and count how many full glasses are obtained.)*

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3What will you use to fill half of the glass?Show solution
Concept: To fill half a glass, we need a vessel that holds about half the capacity of the glass.

Answer: We can use a ladle to fill half of the glass, since a ladle holds less water than a full glass. Pour ladles one at a time until the glass is half full.

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4Which of these would you use for distributing the lemonade in glasses? Why?Show solution
Answer: We would use the jug for distributing lemonade in glasses.

Reason: The jug holds more lemonade than a glass or a bowl, so it is easy to pour from the jug into each glass without having to refill frequently. It is also convenient to hold and pour.

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5How many glasses can be filled with 3 jugs of lemonade?Show solution
Given: From Question 2, 1 jug fills 4 glasses.

Formula: Number of glasses = Number of jugs × Glasses per jug

Number of glasses=3×4=12\text{Number of glasses} = 3 \times 4 = 12

Answer: 3 jugs of lemonade can fill 12 glasses.

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6How many ladles are needed to fill 4 glasses?Show solution
Given: From the activity, suppose 1 glass = 2 ladles (based on the picture).

Formula: Total ladles = Number of glasses × Ladles per glass

Total ladles=4×2=8\text{Total ladles} = 4 \times 2 = 8

Answer: 8 ladles are needed to fill 4 glasses.
*(The exact number depends on the sizes shown in the figure. Students should use their measured value from the activity.)*

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7Can you use a ladle, bowl or a glass to find out how much lemonade a jug can hold?Show solution
Answer: Yes, we can use a ladle, bowl, or glass to find out how much lemonade a jug can hold.

Method:
- Fill the ladle (or bowl or glass) with water/lemonade.
- Pour it into the jug.
- Count how many times you pour until the jug is full.
- That count tells you the capacity of the jug in terms of ladles (or bowls or glasses).

Conclusion: Utensils with less capacity can be used to measure a utensil of larger capacity by counting how many times the smaller vessel fills the larger one. The total quantity of liquid remains the same.

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Let us Discuss — A Measuring Bottle

1Tick the appropriate word in the sentences given below.
(a) The glass holds more than/less than 1 litre.
(b) The bowl holds more than/less than 1 litre.
(c) The jug holds more than/less than/exactly 1 litre.
Show solution
Given: Nita uses a 1 litre bottle to compare with the jug, glass, and bowl.

From the picture:
- The glass is smaller than the 1 litre bottle.
- The bowl is smaller than the 1 litre bottle.
- The jug holds exactly the same amount as the 1 litre bottle.

(a) The glass holds ☑ less than 1 litre.

(b) The bowl holds ☑ less than 1 litre.

(c) The jug holds ☑ exactly 1 litre.

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2Find the vessels at home that are exactly 1 litre. Use your 1 litre bottle to check.Show solution
Activity-based question. Students should take their 1 litre bottle and pour water into various vessels at home.

Method: Pour 1 litre of water from the bottle into the vessel. If the vessel is exactly full (neither overflowing nor partially empty), it holds exactly 1 litre.

Sample Answer: Vessels that are commonly exactly 1 litre:
- A standard 1-litre milk packet or bottle
- Some medium-sized jugs
- Certain cooking oil bottles

*(Answers will vary based on vessels available at home.)*

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3Identify vessels that are more than or less than 1 litre.Show solution
Activity-based question. Students should use the 1 litre bottle to check.

More than 1 litre (sample answers):
- Bucket
- Large jug
- Cooking pot
- Water bottle (large)

Less than 1 litre (sample answers):
- Drinking glass
- Small bowl
- Cup / mug
- Ladle

*(Answers will vary based on vessels available at home.)*

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Look at the Picture — Litre, Half Litre, Quarter Litre

Q1Look at the picture and tick the appropriate word.
(a) The mug holds a litre/half litre of water.
(b) The glass holds a litre/half litre/quarter litre of water.
Show solution
Concept:
- 1 litre = 2 half litres = 4 quarter litres
- From the picture, the mug is filled exactly halfway when 1 litre is poured, and the glass is filled exactly when a quarter litre is poured.

(a) The mug holds ☑ half litre of water.

(b) The glass holds ☑ quarter litre of water.

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Let us Explore

(a)How much water does a bucket hold at your home: more than/less than/equal to 1 litre.
(b)How much water does a mug hold at your home: less than/more than/equal to half a litre.
(c)How much water does a glass hold: less than/more than/equal to a quarter litre.

Heavy or Light? — Comparison Activity

DiscussionDiscuss in pairs why one hand of Chintu is lower than the other?
TableTry holding the following things in both hands. Which is heavier and which is lighter?
- Lunch box and pencil box
- Your school bag and lunch bag
- Apple and watermelon
- A balloon filled with air and a basketball

Let us Do — Measuring with Coins/Erasers and Matchboxes

1Write the names of the objects and their weights in the table given below (using coins or erasers as weights):
Objects: Pencil, Ping Pong Ball, and others of your choice.
2Use a matchbox filled with sand to weigh the following objects. Guess the weight in terms of matchboxes and then verify.
Objects: Pencil box, A spoon, 4 marbles.
Also write the names of all objects measured in the order of lightest to heaviest.

Weight Hunt — Group Activity

1Why is your bag heavier or lighter?
2Count the number of books to see if there is a difference in the number of books in the bag.
3Can you make the two bags of about the same weight by moving a book? Discuss.

How much is 1 Kilogram? — Questions 4 & 5

4Write the names of the objects that are 1 kilogram.
5Can you guess which of these things are likely to be lighter or heavier than 1 kilogram? Put a tick mark in the appropriate box.

Look at the Balance — Question 6

6(a)Look at the balance. Each daal packet weighs a half kilogram/kilogram.
6(b)Look at the balance. Each tea packet weighs a half kilogram/quarter kilogram/kilogram.

Tricky Balls — Puzzle Questions

1(a)3 balls look similar in size. One of them is heavier and 2 balls are equal in weight. You have only a pan-balance and no weights. How many times will you have to weigh to identify the heavy ball?
1(b)Use the balance only one time and tell which is the heavy ball.
2There are three same-sized balls of different weights and colours: red, orange and green. You can use the pan-balance but cannot use weights. How will you find which one is the heaviest and which one is the lightest?

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Frequently Asked Questions

What are the important topics in Filling and Lifting for CBSE Class 3 Mathematics?
Filling and Lifting covers several key topics that are frequently asked in CBSE Class 3 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Filling and Lifting — CBSE Class 3 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
Where can I get free NCERT Solutions for Filling and Lifting Class 3 Mathematics?
This page has free step-by-step NCERT Solutions for every exercise question in Filling and Lifting (CBSE Class 3 Mathematics) — written the way examiners award marks: given, formula, working, answer.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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