Class VII : Physics: Physical Quantities and Measurements
Volume
Definition: The space occupied by an object is called its volume.
Units and their relations :
S.I Unit of Volume: m3
1 m3 = 106 cm3
1 L = 1,000 cm3 = 1,000mL
1mL = 1cm3 = 10-6 m3
Measurement of Volume of regular objects : Formulae
- Volume of a cube = (one side) 3
- Volume of a cuboid = length x breadth x height
- Volume of a sphere = (4π /3 ) x (radius) 3
- Volume of cylinder = π x (radius)2 x height
- Volume of cone = ( π / 3 ) x (radius)2 x height
Area
Definition: The surface occupied by an object is called its area.
Units and their relations :
S. I unit of Area: m2
1 are = 1 square decametre = 102 m2
1 hectare = 104 m2
1 km2 = 106 m2
1 cm2 = 10-4 m2
1mm2 = 10-6 m2
Measurement of Area of regular objects: Formulae
- Area of a squre = (one side) 2
- Area of a rectangle = length x breadth
- Area of a circle= π x (radius)2
- Surface Area of a cylinder = 2π x radius x length
- Surface Area of sphere = 4π x (radius)2
Density
Definition: The density of a substance is defined as the mass of a unit volume of that substance.
Density = Mass / Volume
d = M / V
Units and their relations :
S.I Unit of Density = Kg/ m3
C.G.S unit o Density = g/ cm3
1 g/ cm3 = 1000 Kg/ m3
Speed
Definition: The distance covered by a body in unit time is called the speed of the body.
Speed = Distance traveled / Time taken
Speed (v) = d / t
Units and their relations :
S. I. Unit of time = m/s
1 km/hour = 1/3.6 m/s
3.6 km/h = 1 m/s