NCERT Workbook Solutions For Class 3 Chapter 4 Chapter 4 Measurement
Concept Review Introduction
Measurement can be defined as giving a numerical value to an attribute or property like length, distance, weight capacity, etc.
- Different tools are used for measuring different attributes.
- Without the numerical measurement, we can only give a general comparison of properties.
- Units of length are meter (m), kilometer (km), centimeter (cm), millimeter (mm).
- Units of weight are milligrams (mg), grams (g), and kilogram (kg).
- Units of capacity or volume are liter (L) and millilitre (mL).
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NCERT Workbook Solutions For Class 3 Chapter 4 Measurement Measuring Length
Length is the end-to-end stretch measure of an object or distance using a tool according to standards. Length helps us to understand, what is short, long, near, or far?
Comparing Length
When we know the length of two objects, we can compare them easily.
To exactly say in numbers, how long and short, how tall and short, or how far and near, we use measurements of length.
Length
The length of an object is a measurement of its longest side.
The length of the pencil is 14 cm on the scale.
The height of a person can be measured by using a measuring tape or a scale.
The height of the person is 166 cms, as shown in the scale.
Tools used for measuring length
ln previous days, humans used their hands and feet to measure length.
- A ruler is used to measure shorter lengths. (For example: Length of a pen, length of a book, length of the Laptop screen)
- A tape is used for measuring greater length. (For example: Length of table, cloth, room.)
- A surveyor’s tape or GPS measuring devices are used to measure distances. (For example: Distance between two cities, distance from your house to the market.)
Units of measuring length
The standard unit for measuring length is Metre, usually written as ‘m’. it can be broken down into smaller units as shown below:
- 1 metre (1 m) = 100 centimetres (100 cm)
- 1 centimeter (1 cm) = 10 millimeters (10 mm)
- Long distances are measured in kilometers (km).
1 kilometre (1 km) = 1000 metres (1000 m)
Observe your ruler.
A scale is divided into units of centimeters. 1 cm is divided into 10 smaller units of millimetre.
Unit conversions
The changing of standard units from one form to another is called conversion. This helps us to calculate and understand the length easily.
Question 1. In the picture of the scale shown above, what is the length of the scale in millimeters (mm)?
Answer: 1 cm = 10 mm
15cm=15 × 10 = 150 mm
The length of the scale is 150 mm or 15 cm.
Question 2.
Convert the following:
1. 5m to cm
Answer:
1m = 100cm
5m = 5 × 100 = 500cm
2. 2 km to m
Answer:
1 km = 1000 m
2 km = 2 × 1000 = 2000 m
3. 1 km to cm
Answer:
1km = 1000m
1m = 100cm
1000m = 1000 × 100cm
= 100000 cm
NCERT Workbook Solutions For Class 3 Chapter 4 Measuring Length
Question 1. Choose the correct alternative.
1. 5 metres = ___ cm
- 50
- 500
- 5
- 5000
Answer: 2. 500 cm
2. 7000 m = ___ km
- 7 km
- 70 km
- 700 km
- 7000 km
Answer: 1. 7 km
3. Which of these will be in kilometers (km)?
- Length of a curtain
- Distance from your home to school
- Distance from the kitchen to the front door
- Length of table
Answer: 2. Distance from your home to school
4. Which of these will be measured in meters (m)?
- Length of paper
- Mobile screen
- Length of a curtain
- Television screen
Answer: 3. Length of a curtain
5. Which of these will be measured in centimeters (cm)?
- Distance of 2 cities
- Length of a river
- Length of a playground
- Length of a paper
Answer: Length of a paper
Question 2. Match the Column-1 with Column-2.
Answer. (1) → B, (2) → D, (3) → A, (4) → E, (5) → C
Question 3. State whether the following statements are True or False.
1. The length of a spoon will be measured in meters.
Answer: True
2. The size of a room will be measured in kilometers.
Answer: False
Question 4. Fill in the blanks.
1. 600m+1200m=___ km
Answer: 600m + 1200m = 1.8 km
2. 80cm+70cm+20cm=___ mm
Answer: 80cm + 70cm + 20cm = 1700 mm
Question 5. Very Short Answer Type Questions.
1.
The length of the mobile screen is ___ cms.
Answer: 6 cm
2.
The width of the coin is ___ cms
Answer: 4 cm
Question 6. Short Answer Type Questions.
1. The length of the TV screen is ___ mm which when converted is ___ cms.
Answer: 90.76 cms
2. The breadth of the TV screen is ___ mm which when converted is ___ cms.
Answer: 52.97 cms
Question 7. Activity Corner
1. What is the distance from the Carmel house to the school? Convert the distance in meters.
Answer: 2000 meters
NCERT Workbook Solutions For Class 3 Chapter 4 Measurement Measuring Weight
Weight is the measure of how heavy an object or person is.
- Weight is measured using a tool, according to standards.
- Weight helps us to understand what is heavy and what is light.
- Units of weight are milligrams, grams, and kilograms.
Comparing weight
When we know the weight of two things, we can compare them easily.
Weight
The weight of an object is a measurement of its heaviness.
These 4 bananas weigh 600 grams.
The weight of this banana is 150 gms
The weight of 4 bananas is heavier than 1 banana.
Tools used for measuring weight
Units of measuring weight
The standard unit of measuring weight is kilogram written as kg. It is broken down into the following smaller units.
1 kilogram (1 kg) = 1000 grams (1000g)
1 gram (1 g) = 1000 milligrams (1000 mg)
Weights used for manual calibration
Conversion of units
Conversion of units in weight is done as follows.
Example 1. Convert 5 grams to milligrams.
1 g = 1000 mg
5 g = 5 × 1000 = 5000mg
Example 2. Convert 2 kilograms to grams.
1kg = 1000g
2kg = 2 × 1000 = 2000g
Example 3. Convert 1 kilogram to a milligram
1kg = 1000g
1g = 100 mg
1000g = 1000 × 100
= 100000 mg
Operations on Weight
Adding weights
1. Add 5kg 200g with 9kg 250g.
Answer: 5 kg 200g + 9kg 250g = 14 kg 450g
2. Add 10kg 250g with 7 kg 850g.
Answer: 10kg 250g + 7kg 850g = 18kg 100g
Subtracting weights
3. Subtract 4 kg from 6 kg 500g.
Answer: 6kg 500g – 4 kg = 2kg 500g
4. Subtract 25kg from 75kg.
Answer: 75kg – 25kg = 50kg
NCERT Workbook Solutions For Class 3 Chapter 4 Measurement
Question 1. Choose the correct alternative.
1. 5000 grams is equal to
- 50 kg
- 5 kg
- 500 kg
- 500kg
Answer: 2. 5 kg
2. 3 kg is equal to
- 3000 g
- 30 g
- 300 g
- 3 g
Answer: 3000 g
3. 50 g is equal to
- 500 mg
- 50 mg
- 50000 mg
- 5000 mg
Answer: 3. 50000 mg
4. The approximate weight of a school notebook will be
- 10 g
- 250 g
- 2 kg
- 3 kg
Answer: 10 g
5. Sum of 200 mg and 800 mg is
- 1 gram
- 100 grams
- 1000 grams
- 1 kg
Answer: 1. 1 gram
Question 2. Match the Column-1 with Column-2
Look at the weights of different fruits and vegetables given above and select the correct option.
Answer. (1) →B, (2) →E, (3) → D, (4) → C, (5) → A
Question 3. State whether the following statements are True or False.
1. An envelope is lighter than a book.
Answer: True
2. A wooden box weighs lighter than a cardboard box
Answer: False
Question 4. Fill in the blanks.
1. 7 kg = ___ g
Answer: 7000 g
2. 300 g = ___ mg
Answer: 3,00,000 mg
Question 5. Very Short Answer Type Questions.
1. How many 250 g muffins is the same as that of the weight of a 1 kg cake?
Answer: 4 muffins
2. Which weighs more? A bag of 2 kg 600 g of groceries or a bag of 1700 g of groceries.
Answer: 2 kg 600 g
Question 6. Activity Corner
NCERT Workbook Solutions For Class 3 Chapter 4 Measurement Measuring capacity
Measurement of capacity helps us to understand the maximum amount of something, a container can hold.
It is the amount of space available in a container to hold any substance – solid, liquid, or gas.
Capacity
Capacity tells us whether a container can hold more or less of something
Comparing capacity
Quantity and Capacity
The capacity of the three juice bottles is 2 liters.
The quantity of juice in the bottles is empty, half full, and full to its capacity.
Units Of Measuring Capacity
The standard unit of measuring capacity is liters written as ‘L’. It is broken down into the following smaller units.
1 Litre (1L) = 1000 millilitre (1000 mL)
A measuring cup is used to measure capacity.
1 Litre is divided into 10 equal parts.
Each smaller part is 100 ml.
Conversion Of Units
Conversion of units in weight is done as follows.
Example 1.
Convert 2 Litres to millilitres.
1L = 1000mL
2L = 2 × 1000 = 2000 mL
Example 2.
Convert 5000 mL to liters.
1000 mL = 1L
5000 mL = 5000 ÷ 1000 = 5L
Example 3.
There are 5 milk packets of capacity 200 mL each. What is its total capacity in liters?
1 packet = 200 mL
5 packets = 5 × 200mL
= 1000 mL = 1L
NCERT Workbook Solutions For Class 3 Chapter 4 Measurement Measuring Capacity Choose the correct alternative
Question 1. Choose the correct alternative.
1. A bucket can hold 4 liters of water. The amount of water it has, if it is filled to half its capacity will be?
- 2 litres
- 4litres
- 5 litres
- 10 litres
Answer: 1. 2 litres
2. If 1000 mL = 1 L, then 7000 mL = ?
- 7000L
- 700L
- 7L
- 70L
Answer: 7 L
3. 500 mL = ___ L
- \(\frac{1}{2} \mathrm{~L}\)
- 5 L
- 10 L
- 50 L
Answer: 1. \(\frac{1}{2} \mathrm{~L}\)
4. 11 litres = ___ mL
- 110 mL
- 11000 mL
- 1100 mL
- 1000 mL
Answer: 2. 11000 mL
5. 55L= ___ mL
- 550 mL
- 250 mL
- 5550 mL
- 55000 mL
Answer: 4. 55000 mL
Question 2. Match the Column-1 with Column-2.
Answer: (1) → B, (2) → C, (3) → A
Question 3. State whether the following statements are True or False.
Answer: 1. False
2. True
Question 4. Fill in the blanks.
1. A 5L bottle is filled with 2500 mL of water. It is filled to ___ of its capacity
Answer: 2500 mL
2. A 1L bottle of water can fill ___ 200 mL water glasses.
Answer: 800 mL
Question 5. Very Short Answer Type Questions.
1. If each of these juice packets contains 500 mL of juice, what is the total quantity of juice available in liters?
Answer: 3 Litres
2. A beaker contains 1 L of liquid, how many 200 mL beakers can be filled with this liquid?
Answer: 5 beakers