CBSE Class 5 Mathematics Chapter 14 How Big How Heavy NCERT Solutions

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NCERT Solutions PDF Class 5 PDF

This chapter, 'How Big How Heavy,' for CBSE Class 5 Mathematics, introduces students to the fundamental concepts of volume and capacity. The NCERT Solutions provide a hands-on approach to understanding how to estimate and measure the volume of various objects using marbles and measuring bottles. Students will learn to compare volumes, fill in tables with their observations, and solve simple problems involving volume calculations. These solutions are designed to make learning about measurement engaging and practical, helping students develop an intuitive sense of size and space. By working through these exercises, students will build a strong foundation for more complex measurement concepts in the future, making them excellent for exam revision.

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Quick info

BoardCBSE
ClassClass 5
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 14

Chapter summary

Chapter 14, 'How Big How Heavy,' focuses on introducing Class 5 students to the concept of volume and capacity. The NCERT Solutions cover exercises that involve estimating the volume of everyday objects in terms of marbles and using a measuring bottle to find volumes in milliliters (mL). Students practice comparing volumes and filling in tables with their findings, reinforcing practical measurement skills.

Learning outcomes

  • Estimate the volume of objects using a standard unit (marbles).
  • Measure the volume of objects using a measuring bottle in mL.
  • Compare the volumes of different objects.
  • Solve simple problems related to volume estimation and measurement.
  • Understand the concept of capacity through practical examples.

Topics covered

Paper topics

  • Volume estimation using marbles
  • Measurement of volume in mL
  • Water displacement method
  • Comparing volumes
  • Practical measurement activities
  • Capacity concepts

Important topics

  • Estimating volume with marbles
  • Measuring volume with a measuring bottle
  • Understanding water displacement
  • Comparing volumes of different objects

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Questions and Solutions

Question 1

Guess the volume of each of these in terms of marbles:
  • A ball is nearly _____ marbles.
  • An eraser is nearly _____ marbles.
  • A lemon is nearly _____ marbles.
  • A pencil is nearly _____ marbles.
  • A potato is nearly _____ marbles.
Solution:

This question asks students to estimate the volume of various objects by comparing them to the size of marbles. Since this is an estimation, the answers can vary from student to student based on their observation and the actual size of the objects they are using. Here are some possible reference answers:

  • A ball is nearly 20 marbles.
  • An eraser is nearly 2 marbles.
  • A lemon is nearly 4 marbles.
  • A pencil is nearly 2 marbles.
  • A potato is nearly 10 marbles.

Note: Students should be encouraged to make their own guesses and then verify them if possible. The underlined numbers are example estimations.

Question 2

Try with different things like a matchbox, a stone, etc. and fill the table with their volumes, estimated in terms of marbles.

The table has two columns: 'Name of the thing' and 'Its volume (nearly how many marbles?)'.

Solution:

This exercise encourages students to explore and measure the volume of different objects using marbles as a unit of comparison. The answers will depend on the specific items chosen and the student's estimation skills. Here is a sample table filled with possible answers:

Name of the thing Its volume (nearly how many marbles?)
A grape 1 marble
An egg 3 marbles
5 chalks 2 marbles
1 bowl of rice 10 marbles
A matchbox 5 marbles
A small stone 4 marbles

Students should fill this table with their own observations and measurements. The values provided are examples.

Question 1 (a, b, c, d, e)

Use your measuring bottle to find out:

(a) What is the volume of 6 marbles? _____ mL.

(b) What is the volume of 16 one-rupee coins? _____ mL.

Now solve these in your mind:

(c) The volume of 24 marbles is _____ mL.

(d) The volume of 32 one-rupee coins is _____ mL.

Mollie puts some five-rupee coins in the measuring bottle. How many coins has she put in it:

• if 30 mL water is pushed up? _____

• if 60 mL water is pushed up? ____

First guess and then use your measuring bottle to find out the volume in mL of some other things.

Thing | Its volume (in mL)

Solution:

This section involves using a measuring bottle to determine the volume of objects in milliliters (mL) through water displacement. Students will perform practical measurements and then use simple multiplication for parts (c) and (d).

Part (a): Volume of 6 marbles

To find the volume of 6 marbles, you would typically measure the water level rise when 6 marbles are added to the bottle. Let's assume, for example, that 6 marbles displace 12 mL of water. So, the volume of 6 marbles is approximately 12 mL.

Part (b): Volume of 16 one-rupee coins

Similarly, add 16 one-rupee coins to the measuring bottle and note the water level rise. If, for instance, 16 coins displace 24 mL of water, then the volume of 16 coins is approximately 24 mL.

Part (c): Volume of 24 marbles

If the volume of 6 marbles is approximately 12 mL (from part a), then the volume of 24 marbles can be found by multiplying:

Volume of 24 marbles = (Volume of 6 marbles) × (24 / 6) = 12 mL × 4 = 48 mL.

Part (d): Volume of 32 one-rupee coins

If the volume of 16 one-rupee coins is approximately 24 mL (from part b), then the volume of 32 coins can be found by multiplying:

Volume of 32 coins = (Volume of 16 coins) × (32 / 16) = 24 mL × 2 = 48 mL.

Part (e): Number of five-rupee coins

The rise in water level directly indicates the volume of the coins added. We need to know the volume of a single five-rupee coin first. Let's assume a five-rupee coin has a volume of approximately 3 mL.

  • If 30 mL water is pushed up, the number of coins is 30 mL / 3 mL/coin = 10 coins.
  • If 60 mL water is pushed up, the number of coins is 60 mL / 3 mL/coin = 20 coins.

Note: The actual volume of coins and marbles will vary, and students should use their measurements. The calculations above use assumed values for demonstration.

Measuring other things:

Students should use their measuring bottle to find the volume of other items. For example:

Thing Its volume (in mL)
A small toy car 25 mL
A key 5 mL
A button 2 mL

These are sample answers; students should fill this table with their own findings.

Common mistakes

  • Inaccurate estimation of volumes without actual measurement.
  • Difficulty in accurately reading the volume from a measuring bottle.
  • Confusing volume with weight.
  • Errors in simple arithmetic calculations related to volume.

Revision tips

  • Practice estimating volumes of various household items before measuring.
  • Ensure accurate readings from the measuring bottle, noting the water displacement.
  • Re-do the calculations mentally and on paper to check for accuracy.
  • Use real objects and a measuring bottle to perform the experiments described in the chapter.

Practice MCQs

Q1. Which of the following objects is likely to have the largest volume, assuming they are of typical size?

Q2. If 1 marble has a volume of approximately 2 mL, what would be the approximate volume of 6 marbles?

Q3. What does the water pushed up in a measuring bottle represent?

Q4. If Mollie puts five-rupee coins into a measuring bottle and the water level rises by 30 mL, what is the approximate volume of the coins?

Frequently asked questions

What is the main concept taught in CBSE Class 5 Maths Chapter 14?

Chapter 14, 'How Big How Heavy,' introduces students to the concepts of volume and capacity, teaching them how to estimate and measure the volume of objects using units like marbles and milliliters (mL).

How do the NCERT Solutions for this chapter help students?

These solutions provide clear, rewritten answers and explanations for exercises, guiding students on how to estimate volumes, use a measuring bottle, and solve related problems, aiding in their understanding and exam preparation.

Are the answers in the solutions exact?

For estimation-based questions, the answers provided are approximate and may vary. The solutions emphasize the method and understanding rather than exact numerical answers for subjective estimations.

What practical skills are developed by studying this chapter?

Students develop practical skills in estimation, measurement using tools like a measuring bottle, comparison of volumes, and basic problem-solving related to capacity.

Important links

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