AREA AND VOLUME
WHAT IS THE DIFFERENCE?
THESE ARE PLANE FIGURES
THESE ARE SOLID FIGURES
PLANE FIGURE
SOLID FIGURE
Length
Breadth
Heigh
Breadth
Length
Plane figures have two dimensions length and breadth.
Solid figures have three dimensions length ,breadth and height.
VOLUME
AREA
The magnitude of a plane figure is called the area.
The magnitude of a solid figure is called the volume.
b
l
Area= l X b
Where, l - length
b - breadth
l
b
h
Volume = l X b X h
Where, l - length
b - breadth h - height
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1cm
1cm
1cm
1cm
1cm
The area of a square whose side is 1cm is called a square centi metre and written as1sq cm or 1cm2.This is a standard unit of area.
The volume of a space region formed by a cube, whose side is 1cm long, is called a cubic centimetre and is written as1cu cm or 1cm3. This is a standard unit of volume.
b
Rectangle
l
b
l
l
Square
l
l
l
Area= l X b
Area= l X l = l 2
CUBE
CUBOID
Volume= l X b X h
Volume= l X l X l= l3
l
h b
l
l
l
AREA
VOLUME
LENGTH = AREA
BREADTH BREADT H = AREA
LENGTH
LENGTH = VOLUME
BREADTH X HEIGHT
BREADTH = VOLUME
HEIGHT =
LENGTH X HEIGHT
VOLUME
LENGTH X BREADTH
WHAT IS TO BE FOUND AREA OR VOLUME ?
The floor of a rectangular hall is to be covered with a carpet150cm wide. If the length and the breadth of the hall are 20m and 18m,respectively,find the cost of the carpet at the rate of Rs. 10 per metre
AREA
WHAT IS TO BE FOUND AREA OR VOLUME ?
A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of petrol can it hold?
VOLUME
AREA
100 mm2 = 1 cm2
100 cm2 =1 dm2
100 dm2 =1 m2
100 m2 =1 are
100 ares =1 hectare
100 hectares =1 sq km
VOLUME
1000 mm3 =1 cm3
1000 cm3 =1 dm3
1000 dm3 = 1 m3
1litre =1 dm3 =1000 cm3
1 m l =1 cm3
1 k l =1000 l = 106cm3
CROSS WORD PUZZLE
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4
3
8
1
2
5
7
ACROSS:1. A plane fig. Having length and breadth of equal len
6 2. Magnitude of a solid fig.
3.Volume =length X breadth X__
4.. Length =Area/ __ ______. DOWN:5. Area =_______/ bread
6. Magnitude of a plane figure.
7A solid fig. having all the faces
square.
8. 100 ares = 1 _________.
Make a power point presentation for: 1.Area of a parallelogram.
2.Area of a triangle.