NCERT Solutions for Class 5 Maths (Math Magic) Chapter 14 How Big? How Heavy?
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Book Name: Math Magic
Subject: Maths
Chapter Number: 14
Chapter Name: How Big? How Heavy?
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Book Name: Math Magic
Subject: Maths
Chapter Number: 14
Chapter Name: How Big? How Heavy?
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
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Page 1
NCERT
SOLUTIONS
CLASS - 5th
aglase .co
SOLUTIONS
CLASS - 5th
aglase .co
Page 2
Class : 5th
Subject : Maths
Chapter : 14
Chapter Name : How Big? How Heavy?
Q1 Now make a guess. Do you think the volume of 10 ve-rupee
coins will be more than that of 10 marbles?
Guess the volume of each of these:
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.
Answer.
A ball is near 2 marbles.
An eraser is near 2 marbles.
A lemon is near 3 marbles.
A pencil is near 2 marbles.
A potato is near 4 marbles.
Page : 188 , Block Name : Your Measuring Glass
Q2 Now make your own measuring glass using 35 marbles. Take a glass of water and mark the
level of water as 0 . Then put in 5 marbles and mark the level of water as 5 M. Again drop 5
marbles and mark the level of water as 10 M. Likewise make the markings for 15 M, 20 M, 25 M,
30 M and 35 M.
Answer.
Subject : Maths
Chapter : 14
Chapter Name : How Big? How Heavy?
Q1 Now make a guess. Do you think the volume of 10 ve-rupee
coins will be more than that of 10 marbles?
Guess the volume of each of these:
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.
Answer.
A ball is near 2 marbles.
An eraser is near 2 marbles.
A lemon is near 3 marbles.
A pencil is near 2 marbles.
A potato is near 4 marbles.
Page : 188 , Block Name : Your Measuring Glass
Q2 Now make your own measuring glass using 35 marbles. Take a glass of water and mark the
level of water as 0 . Then put in 5 marbles and mark the level of water as 5 M. Again drop 5
marbles and mark the level of water as 10 M. Likewise make the markings for 15 M, 20 M, 25 M,
30 M and 35 M.
Answer.
Page 3
Page : 188 , Block Name : Your Measuring Glass
Q1 Use your measuring bottle to nd 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? _________ mL.
e) Mollie puts some ve-rupee coins in the measuring bottle.
How many coins has she put in it:
(i) if 30 mL water is pushed up? __________
(i) if 60 mL water is pushed up? __________
Answer. a) 7 ml.
b) 18 ml.
c) 28 ml.
d) 36ml.
e) (i) 27 coins.
e) (ii) 54 coins.
Page : 189 , Block Name : Which Has More Volume?
Q2 First guess and then use your measuring bottle to nd out the volume in mL of some other
things.
Answer.
Page : 190 , Block Name : Which Has More Volume?
Q3 Guess how many litres of water your body will push up?
Answer. About 40 L.
Q1 Use your measuring bottle to nd 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? _________ mL.
e) Mollie puts some ve-rupee coins in the measuring bottle.
How many coins has she put in it:
(i) if 30 mL water is pushed up? __________
(i) if 60 mL water is pushed up? __________
Answer. a) 7 ml.
b) 18 ml.
c) 28 ml.
d) 36ml.
e) (i) 27 coins.
e) (ii) 54 coins.
Page : 189 , Block Name : Which Has More Volume?
Q2 First guess and then use your measuring bottle to nd out the volume in mL of some other
things.
Answer.
Page : 190 , Block Name : Which Has More Volume?
Q3 Guess how many litres of water your body will push up?
Answer. About 40 L.
Page 4
Page : 190 , Block Name : Which Has More Volume?
Q1 A stage (platform) is made with 5 Math-Magic books. The volume of this stage is the same as
__________ cm cubes.
Answer. 520 x 5 =2600 cm cubes.
Page : 190 , Block Name : Practice Time
Q2 Guess the volume of these things in cm cubes.
A matchbox is about _________ cm cubes.
A geometry box is about_______cm cubes.
An eraser is about__________cm cubes.
How will you check your guess? Discuss.
Answer. Matchbox -
Length = 6 cm
Breadth = 4 cm
Height = 1 cm
Hence, volume = 6 x 4 x 1 = 24 cubic cm
Geometry box -
Length = 16 cm, Breadth = 6 cm, Height = 1 cm
Hence, Volume = 16 x 6 x 1 = 96 cubic cm
Page : 190 , Block Name : Practice Time
Q1 Tanu is making a stage with matchbox. She rst puts 14 matchboxes like this in the
rst layer
She makes 4 such layers and her stage looks like this
She used _____ matchboxes to make this stage.
Answer. 56
Page : 191 , Block Name : Matchbox play
Q2 The volume of one matchbox is the same as 10 cm cubes. Then the volume of this
stage is same as _____ cm cubes.
Q1 A stage (platform) is made with 5 Math-Magic books. The volume of this stage is the same as
__________ cm cubes.
Answer. 520 x 5 =2600 cm cubes.
Page : 190 , Block Name : Practice Time
Q2 Guess the volume of these things in cm cubes.
A matchbox is about _________ cm cubes.
A geometry box is about_______cm cubes.
An eraser is about__________cm cubes.
How will you check your guess? Discuss.
Answer. Matchbox -
Length = 6 cm
Breadth = 4 cm
Height = 1 cm
Hence, volume = 6 x 4 x 1 = 24 cubic cm
Geometry box -
Length = 16 cm, Breadth = 6 cm, Height = 1 cm
Hence, Volume = 16 x 6 x 1 = 96 cubic cm
Page : 190 , Block Name : Practice Time
Q1 Tanu is making a stage with matchbox. She rst puts 14 matchboxes like this in the
rst layer
She makes 4 such layers and her stage looks like this
She used _____ matchboxes to make this stage.
Answer. 56
Page : 191 , Block Name : Matchbox play
Q2 The volume of one matchbox is the same as 10 cm cubes. Then the volume of this
stage is same as _____ cm cubes.
Page 5
Answer. Volume of 1 matchbox = 10 cubic cm.
Hence, volume of 56 matchboxes = 10 x 56 = 560 cubic cm.
Page : 192 , Block Name : Matchbox play
Q3 If all these cubes are arranged in a line, how long will that line be? _____ cm.
Answer. Missing
Page : 192 , Block Name : Matchbox play
Q4 Which has more volume — your Math-Magic book or Tanu’s platform?
Answer. Tanu’s platform has more volume.
Page : 192 , Block Name : Matchbox play
Q5 With your friends, collect many empty matchboxes of the same size. Measure the
sides and write here.
Answer. It is 3cm wide and 5 cm long and 1 cm high.
Page : 192 , Block Name : Matchbox play
Q6 Use 56 matchboxes to make platforms of different heights. Fill this table.
Answer.
Hence, volume of 56 matchboxes = 10 x 56 = 560 cubic cm.
Page : 192 , Block Name : Matchbox play
Q3 If all these cubes are arranged in a line, how long will that line be? _____ cm.
Answer. Missing
Page : 192 , Block Name : Matchbox play
Q4 Which has more volume — your Math-Magic book or Tanu’s platform?
Answer. Tanu’s platform has more volume.
Page : 192 , Block Name : Matchbox play
Q5 With your friends, collect many empty matchboxes of the same size. Measure the
sides and write here.
Answer. It is 3cm wide and 5 cm long and 1 cm high.
Page : 192 , Block Name : Matchbox play
Q6 Use 56 matchboxes to make platforms of different heights. Fill this table.
Answer.
Page 6
Page : 192 , Block Name : Matchbox play
Q7 Make deep drawing of the platform you have made
Answer.
Page : 192 , Block Name : Matchbox play
Q1 Mohan arranged his matchboxes like this.
How many matchboxes did he use to make it? What is its volume in matchboxes? ________
matchboxes.
Q7 Make deep drawing of the platform you have made
Answer.
Page : 192 , Block Name : Matchbox play
Q1 Mohan arranged his matchboxes like this.
How many matchboxes did he use to make it? What is its volume in matchboxes? ________
matchboxes.
Page 7
Answer. Mohan used 30 matchboxes(16 + 9 + 4 + 1 = 30 )
The volume is 30 matchboxes
Page : 193 , Block Name : Practice Time
Q2 Collect empty matchboxes. Arrange them in an interesting way. Make a deep drawing of it.
Answer.
Page : 193 , Block Name : Practice Time
Q1 a) How long is the side of your cube?
b) How many centimetre cubes can be arranged along its: Length? __________ Width? __________
Height?
c) Answer Thimpu's questions:
(i) To make the rst layer on the table how many cm cubes will I use?
(ii) How many such layers will I need to make a paper cube?
d) So the total cm cubes = __________
e) The volume of the paper cube is same as __________ cm cubes.
Answer. (a) 7cm
(b) All sides are equal to 7 cm.
(c) (i) 49 cm
(c) (ii) 7 such layers.
(d) Missing
(e) 343 cubes
Page : 194 , Block Name : How Big Is Your Cube?
Q2 Anan made a big cube having double the side of your paper cube. How many of the your paper
cubes will t in it? Try doing it by collecting all the cubes made in your class.
Answer. Side of cube = 2 x 7 = 14 cm
We have arranged 2 x 2 = 4 paper cubes in rst layer. And 2 layers of 4 paper cubes. Hence, we can
arrange 4 x 2 = 8 cubes
Page : 195 , Block Name : How Big Is Your Cube?
The volume is 30 matchboxes
Page : 193 , Block Name : Practice Time
Q2 Collect empty matchboxes. Arrange them in an interesting way. Make a deep drawing of it.
Answer.
Page : 193 , Block Name : Practice Time
Q1 a) How long is the side of your cube?
b) How many centimetre cubes can be arranged along its: Length? __________ Width? __________
Height?
c) Answer Thimpu's questions:
(i) To make the rst layer on the table how many cm cubes will I use?
(ii) How many such layers will I need to make a paper cube?
d) So the total cm cubes = __________
e) The volume of the paper cube is same as __________ cm cubes.
Answer. (a) 7cm
(b) All sides are equal to 7 cm.
(c) (i) 49 cm
(c) (ii) 7 such layers.
(d) Missing
(e) 343 cubes
Page : 194 , Block Name : How Big Is Your Cube?
Q2 Anan made a big cube having double the side of your paper cube. How many of the your paper
cubes will t in it? Try doing it by collecting all the cubes made in your class.
Answer. Side of cube = 2 x 7 = 14 cm
We have arranged 2 x 2 = 4 paper cubes in rst layer. And 2 layers of 4 paper cubes. Hence, we can
arrange 4 x 2 = 8 cubes
Page : 195 , Block Name : How Big Is Your Cube?
Page 8
Q1 What is your guess? Who is right?
Answer. Dinga is right.
Page : 195 , Block Name : Packing Cubes
Q2 How can Ganesh and Dinga test their guesses before packing the cubes in the boxes? Discuss
with your friend.
Answer. Let us take the rst box:
Length = 20 cm, width = 10 cm, Height = 6 cm
Hence, Volume = 20 x 10 x 6 = 1200 cubic cm < 4000 cubic cm
Second box
Length = 11cm, width = 11 cm, height = 10 cm
Hence, volume = 11 x 11 x 10 = 1210 cubic cm <4000 cubic cm.
Third box
Length = 15 cm, width = 9cm, height = 10 cm
Hence, volume = 15 x 9 x 10 = 1350 cubic cm< 4000 cubic cm.
The total volume = 1200 + 1210 + 1350 = 3760
which is less than Dinga’s cube.
Page : 195 , Block Name : Packing Cubes
Q1 Collect some old postcards. You can also use thick paper of size 14 cm × 9 cm. Fold the
postcard along the width to make pipe-1. Join the ends with cello tape. Take another postcard
and fold it along the length to make pipe 2.join the ends with tape.
1. Guess which pipe can take more sand inside it. Hold it on a plate and pour sand to check your
guess. Was your guess correct? Discuss.
Answer. Pipe 2 can take more sand. This was con rmed during checking.
Page : 196 , Block Name : Which Pipe Fills More?
Q1 a) For 6 days, each person will need ?
Rice and our – ______ g ?
Pulses – ______ g ?
Dried onions – ______ g
b) How much of fresh tomatoes should be dried for 6 days for 10 people?
c) What is the total weight of food (for 6 days) in each person s bag?
Answer. a)Rice and our – 100 g + 100 g = 200 g
=6 x 200 = 1200 g
Pulses – 1/3 of weight of rice and our
= ⅓ x 1200 = 400g
Answer. Dinga is right.
Page : 195 , Block Name : Packing Cubes
Q2 How can Ganesh and Dinga test their guesses before packing the cubes in the boxes? Discuss
with your friend.
Answer. Let us take the rst box:
Length = 20 cm, width = 10 cm, Height = 6 cm
Hence, Volume = 20 x 10 x 6 = 1200 cubic cm < 4000 cubic cm
Second box
Length = 11cm, width = 11 cm, height = 10 cm
Hence, volume = 11 x 11 x 10 = 1210 cubic cm <4000 cubic cm.
Third box
Length = 15 cm, width = 9cm, height = 10 cm
Hence, volume = 15 x 9 x 10 = 1350 cubic cm< 4000 cubic cm.
The total volume = 1200 + 1210 + 1350 = 3760
which is less than Dinga’s cube.
Page : 195 , Block Name : Packing Cubes
Q1 Collect some old postcards. You can also use thick paper of size 14 cm × 9 cm. Fold the
postcard along the width to make pipe-1. Join the ends with cello tape. Take another postcard
and fold it along the length to make pipe 2.join the ends with tape.
1. Guess which pipe can take more sand inside it. Hold it on a plate and pour sand to check your
guess. Was your guess correct? Discuss.
Answer. Pipe 2 can take more sand. This was con rmed during checking.
Page : 196 , Block Name : Which Pipe Fills More?
Q1 a) For 6 days, each person will need ?
Rice and our – ______ g ?
Pulses – ______ g ?
Dried onions – ______ g
b) How much of fresh tomatoes should be dried for 6 days for 10 people?
c) What is the total weight of food (for 6 days) in each person s bag?
Answer. a)Rice and our – 100 g + 100 g = 200 g
=6 x 200 = 1200 g
Pulses – 1/3 of weight of rice and our
= ⅓ x 1200 = 400g
Page 9
Dried onions – 10 x 6 = 60g
b) 6 x 10 x 10 = 600 g
c)
Page : 198 , Block Name : Trek To Gangotri
Q1 Can you guess the weight of the heaviest animal on this earth? No, it's not me. I weigh only
5000 kg!
It is the Blue Whale. Its weight is around 35 times more than me. So how many thousand kg does
it weigh?
Answer. The weight of blue whale = 35 x 5000 = 175000 kg
Page : 198 , Block Name : How Heavy Am I?
Q2 Guess how many children of your weight will be equal to the weight of an elephant of 5000 kg.
Answer. Let the weight of a child = 40 kg
Then number of children equal to weight of an elephant = 5000 + 40 =5040 kg
Page : 199 , Block Name : How Heavy Am I?
Q3 At birth, a baby elephant weighs around 90 kg. How much did you weigh when you were born?
Find out. How many times is a baby elephant heavier than you were at birth?
Answer. Baby elephant’s weight = 90 kg
My weight at the time of birth = 3kg so, baby elephant is 93 kg
Page : 199 , Block Name : How Heavy Am I?
Q4 If a grown up elephant eats 136 kg of food in a day then it will eat around _________ kg in a
month.
Answer. Solution: Food in a day = 136 kg
Hence, food in a month = 136 x 30 = 4080 kg and food in a year
= 4080 x 12 = 48960 kg
b) 6 x 10 x 10 = 600 g
c)
Page : 198 , Block Name : Trek To Gangotri
Q1 Can you guess the weight of the heaviest animal on this earth? No, it's not me. I weigh only
5000 kg!
It is the Blue Whale. Its weight is around 35 times more than me. So how many thousand kg does
it weigh?
Answer. The weight of blue whale = 35 x 5000 = 175000 kg
Page : 198 , Block Name : How Heavy Am I?
Q2 Guess how many children of your weight will be equal to the weight of an elephant of 5000 kg.
Answer. Let the weight of a child = 40 kg
Then number of children equal to weight of an elephant = 5000 + 40 =5040 kg
Page : 199 , Block Name : How Heavy Am I?
Q3 At birth, a baby elephant weighs around 90 kg. How much did you weigh when you were born?
Find out. How many times is a baby elephant heavier than you were at birth?
Answer. Baby elephant’s weight = 90 kg
My weight at the time of birth = 3kg so, baby elephant is 93 kg
Page : 199 , Block Name : How Heavy Am I?
Q4 If a grown up elephant eats 136 kg of food in a day then it will eat around _________ kg in a
month.
Answer. Solution: Food in a day = 136 kg
Hence, food in a month = 136 x 30 = 4080 kg and food in a year
= 4080 x 12 = 48960 kg
Page 10
Page : 199 , Block Name : How Heavy Am I?
Q1 Shahid works in a bank. He sits at the cash counter. Whenever there are too many coins he
does not count them. He just weighs them.
How many coins are there in a sack of 5 rupee coins if it weighs:
a) 18 kg? ______
b) 54 kg? ______
c) 4500 g? ______
d) 2 kg and 250 g? ______
e) 1 kg and 125 g? ______
Answer. a) 18 kg = 18 x 1000 = 18000 g weight of 1 coin = 9g
Hence, number of coins in 18000 g = 18000/9 = 2000 coins
b) 54 kg = 54 x 1000 = 54000 g
Hence, number of coins in 54000 g = 54000/9 = 6000 coins
c) 4500 kg = 4500 x 1000 = 4500000 g
Hence, number of coins in 4500000 g = 4500000/9 = 500000 coins
d) 2 kg and 250 g = 2 x 1000 + 250 = 2000 + 250 = 2250 g
Number of coins= 2250/9 = 250 coins.
e) 1 kg and 125 kg = 1 x 1000 + 125 = 1125 g
Number of coins = 1125/9 = 125 coins.
Page : 199 , Block Name : Shahid Saves The Bank!
Q2 A 2 rupee coin weighs 6 g. What is the weight of a sack with:
a) 2200 coins ? _____ kg _____ g
b) 3000 coins? _____ kg
Answer. a) Weight of 1 coin = 6 g
Hence, weight of 2200 coins = 2200 x 6 = 13200 g = 13 kg and 200 g
b) Weight of 3000 coins = 3000 x 6 = 18000 g = 18 kg
Page : 200 , Block Name : Shahid Saves The Bank!
Q3 If 100 one rupee coins weigh 485 g then how much will 10000 coins weigh? _____ kg _____ g.
Answer. Since 100 one rupee coins weigh 485 g.
Hence, weight of 1 coin = 485/100
Hence, weight of 10000 coins = (485/100) x 10000 = 485 x 100 = 48500
= 48 kg and 500g.
Page : 200 , Block Name : Shahid Saves The Bank!
Q1 Shahid works in a bank. He sits at the cash counter. Whenever there are too many coins he
does not count them. He just weighs them.
How many coins are there in a sack of 5 rupee coins if it weighs:
a) 18 kg? ______
b) 54 kg? ______
c) 4500 g? ______
d) 2 kg and 250 g? ______
e) 1 kg and 125 g? ______
Answer. a) 18 kg = 18 x 1000 = 18000 g weight of 1 coin = 9g
Hence, number of coins in 18000 g = 18000/9 = 2000 coins
b) 54 kg = 54 x 1000 = 54000 g
Hence, number of coins in 54000 g = 54000/9 = 6000 coins
c) 4500 kg = 4500 x 1000 = 4500000 g
Hence, number of coins in 4500000 g = 4500000/9 = 500000 coins
d) 2 kg and 250 g = 2 x 1000 + 250 = 2000 + 250 = 2250 g
Number of coins= 2250/9 = 250 coins.
e) 1 kg and 125 kg = 1 x 1000 + 125 = 1125 g
Number of coins = 1125/9 = 125 coins.
Page : 199 , Block Name : Shahid Saves The Bank!
Q2 A 2 rupee coin weighs 6 g. What is the weight of a sack with:
a) 2200 coins ? _____ kg _____ g
b) 3000 coins? _____ kg
Answer. a) Weight of 1 coin = 6 g
Hence, weight of 2200 coins = 2200 x 6 = 13200 g = 13 kg and 200 g
b) Weight of 3000 coins = 3000 x 6 = 18000 g = 18 kg
Page : 200 , Block Name : Shahid Saves The Bank!
Q3 If 100 one rupee coins weigh 485 g then how much will 10000 coins weigh? _____ kg _____ g.
Answer. Since 100 one rupee coins weigh 485 g.
Hence, weight of 1 coin = 485/100
Hence, weight of 10000 coins = (485/100) x 10000 = 485 x 100 = 48500
= 48 kg and 500g.
Page : 200 , Block Name : Shahid Saves The Bank!
Page 11
Q4 2250 g can also be written as 2 kg and 250 g. Can you explain why?
Answer. we know that 1 kg = 1000 g
If we divide 2250 by 1000; then we get 250 reminder 2 is quotient. So, we can written 2250 g as 2
kg and 250 g.
Page : 200 , Block Name : Shahid Saves The Bank!
Q1 How do people who cannot see make out different notes and coins?(Hint: Look for a shape , , ,
etc. on notes of Rs 20, 50, 100, 500 etc. and feel it.)
Answer. shape, size, paper Style, Watermark.
Page : 200 , Block Name : Find Out And Discuss
Q2 What should we look for to check if a 100-rupee note is real or fake?
Answer. DIY
Page : 200 , Block Name : Find Out And Discuss
Answer. we know that 1 kg = 1000 g
If we divide 2250 by 1000; then we get 250 reminder 2 is quotient. So, we can written 2250 g as 2
kg and 250 g.
Page : 200 , Block Name : Shahid Saves The Bank!
Q1 How do people who cannot see make out different notes and coins?(Hint: Look for a shape , , ,
etc. on notes of Rs 20, 50, 100, 500 etc. and feel it.)
Answer. shape, size, paper Style, Watermark.
Page : 200 , Block Name : Find Out And Discuss
Q2 What should we look for to check if a 100-rupee note is real or fake?
Answer. DIY
Page : 200 , Block Name : Find Out And Discuss
Document Details
| Board / Org | NCERT |
| Exam | Class 5 |
| Type | Solution |
| Pages | 11 |
| Updated | 30 Apr 2026 |