The document discusses measurement concepts in physics, covering volume, capacity, area, density, and speed. It includes methods for measuring irregular shapes, numerical problems with solutions, and key takeaways for each physical quantity. Additionally, there are evaluation questions including true/false and fill-in-the-blank formats to reinforce understanding of the concepts.

1. PHYSICS
PHYSICAL QUANTITIES
AND
MEASUREMENT

2. CONCEPTS IN MODULE
 INTRODUCTION
 VOLUME AND ITS MEASUREMENT
 CAPACITY AND ITS MEASUREMENT
 AREA AND ITS MEASUREMENT
 DENSITY AND ITS MEASUREMENT
 CALCULATION OF SPEED
 NUMERICAL PROBLEMS
 RECAPTULATION
 EVALUATION

3. INTRODUCTION

6. MEASUREMENT OF VOLUME

11. VOLUME OF IRREGULAR
SHAPED SOLIDS

13. ACTIVITY-1
TO FIND THE VOLUME OF AN
IRREGULAR SHAPED SOLID
USING A MEASURING CYLINDER
(DISPLACEMENT METHOD)

16. NUMERICAL PROBLEMS

17. 1. Find the volume of a rubik’s cube of
length 4cm.
Solution:
Given a = 4 cm
volume of the cube = a× a × a
= (4x4x4) cm³
= 64 cm³
2. Find the volume of a spherical marble with
radius 2cm.
Solution:
Given r = 2 cm
volume of the sphere =V = 4/3πr3 = 4/3 x 3.14
x r x r x r
= 4/3 x 3.14 x 2 x 2 x 2 cm³
= 33.49 cm³

18. MEASUREMENT OF
CAPACITY

19. “
”
 https://www.youtube.com/watch?v=Tk
Xxn0bJ4r0
The maximum amount of matter a container can
hold is capacity
The units:
1. litre 2.mililitre 3.kiloliter
Measuring jar cylinder syringe
Name of the unit symbol Measures
kiloliter kl 1000 times of a litre
mililitre ml 1/1000

20. MEASUREMENT OF AREA

21.  Area is the measure of surface occupied by a body.

22. AREA OF AN IRREGULAR
SHAPE
ACTIVITY
(TO FIND THE SURFACE OF A LEAF)

23. “
”
The area of irregular shape cannot be determined easily just by using the formula for area of
the regular shaped object.

25. Area covered No. of squares Area (cm²)
Fully - filled
Half - filled
More than half-
filled
Total Area = _____________________cm²
Result: Area of the irregular shape = __________________ cm²

26. MEASUREMENT OF
DENSITY

28. FORMULA

29. UNIT OF DENSITY

30. ACTIVITY
TO UNDERSTAND THE MEANING OF DENSITY

33. DENSITY g/cm3
Aluminium 2.70
Brass 8.50
Iron 7.86
Wood 0.50
Slate 2.80
Glass 2.50
Lead 11.3
Marble 2.70
Wax 0.89

34. Conclusion
case1:
1.Substances of equal masses
need not be of equal volumes.
Case2:
2. substances of equal volumes
need not be of equal masses.

35. NUMERICAL PROBLEMS
(BASED ON DENSITY)

36. 1. Calculate the density of a
substance whose mass is 500g
and volume is 40cm³
 Solution:
Mass = 500g
Density = mass/volume
= 500/40
= 12.5 g/cm³
2. Calculate the mass of a
spherical object whose radius
is 3 cm. The density of the
object is 2g/cm³
 Solution:
Radius (r) = 3cm
Density =2g/cm³
First we need to find the volume
; V = 4/3πr3
Volume = 113.04 cm³
Mass = density x volume
= 2 x 113.04
= 226.08 g

37. CALCULATION OF SPEED

39. UNIT OF SPEED

43. NUMERICAL PROBLEM

44.  Units of time conversion chart are discussed here in hour, minute, second,
day, week, month, and year.
 The standard units of time are
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60 minutes = 3600 seconds (60 × 60)
1 day = 24 hours
Units of Time Conversion Chart

45. RECAPTULATION

46. NUMERICAL PROBLEMS ON SPEED
 1. A man walks 20 km in 4
hours. Find his speed.
 Solution:
 Distance covered = 20 km
 Time taken = 4 hours
 We know, speed =
distance/time
 = 20/4 km/hr
 Therefore, speed = 5 km/hr
 2. A distance of 6 km is covered
by a two-wheeler in 8 minutes.
What would be the speed of the
car?
 Solution:
 Distance covered = 6 km
 Time taken = 8 min = 8/60 h
 We know, speed =
distance/time
 = 6/ 8x60 km/hr
 Therefore, speed = 45 km/hr

47. POINTS TO REMEMBER
VOLUME
Key Takeaways:
Volume is the three-dimensional
space occupied by a substance.
The International System of Units
(SI) standard unit of volume is the
cubic meter (m3).
The metric system uses the liter (L)
as a volume unit. One liter is the
same volume as a 10-centimeter
cube.
CAPACITY
Key Takeaways:
The maximum amount a container
can hold.
The unit of CAPACITY are litre (l) , ,
mililitre (ml) kiloliter (kl)
# 1000 mililitres = 1 litre.
# 1000 litres = 1 kiloliter
DENSITY
The mass per unit volume is call
density.
• Heating and cooling changes
the density of a substance.
• Substances with equal masses
need not be of equal volume.
• Substances with equal volume
need not of equal mass.
• Density = mass/volume
• SI unit of density is kg/m3

48. EVALUATION

49. OBJECTIVE TYPE QUESTIONS
STATE TRUE OR FALSE
Q1. Write true or false for each statement
(a) The S.I unit of volume is litre.
Answer: false
The S.I unit of volume is cubic metre.
(b) A measuring beaker of capacity 200ml can measure only the volume
200ml of a liquid.
Answer: True.
(c) cm2 is a smaller unit of area than m2.
Answer: True
(d) equal masses of two different substances have equal masses.
Answer: False
Equal volume of two different substances have different masses.

50. STATE TRUE OF FALSE
(e) The S.I unit of density is g/cm3
Answer: False
The S.I unit of Density is kg/m3
(f) 1 gm./ cm3 = 1000kg /m3
Answer : True
(g) The density of water is maximum at 4 degree C
Answer: True
(h)The speed of 5 m./s is less than 25km/h
Answer: True
(I) The S.I unit of speed is m/s
Answer: True

51. MATCH THE FOLLOWING
COLUMN A
A. Volume of a liquid
B. Area of a leaf
C. S.I unit of volume
D. S.I unit of Density
E. S.I unit of speed
COLUMN B
(i) kg/ m3
(ii) (j) m3
(iii) (k) graph paper
(iv) m/s
(v) Measuring cylinder

52. FILL IN THE BLANKS
1. The volume of an irregular solid is determined by the method of
____________________.
2. Volume of a cube = ________________
3. The area of an irregular lamina is measured by using a ________.
4. Mass = ______________
5. The S.I unit of density is ______________.
6. Distance travelled d = _______________.
------------------------------------------------------------------------
--
Answer : 1. displacement of liquid 2. a3 3. graph paper 4.density x
volume 5. kg/m3 6. speed x time