A project i.e. a powerpoint presentation on the chapter ' surface area and volume' for class ix (9) . Also, it is useful for class x (10).
It is made by CHIRAG JAIN, a student of class 9 of Carmel Convent Sr. Sec. School Neemuch.
13. INTRODUCTION
CUBE
CUBOID
RIGHT CIRCULAR CYLINDER
RIGHT CIRCULAR CONE
SPHERE
HEMISPHERE
14. Have you ever wrapped a birthday gift?
If so, then you've covered the surface area
of a polyhedron with wrapping paper.
Have you ever poured a glass of milk?
If so, then you've filled the volume of a
glass with milk.
Not only this, but in day-to-day life, we
come across many activities which involve
the concept of surface areas and volume.
15. Surface Area of an object refers to the total
area of all its surfaces.
For example : The amount of paper
required to wrap a gift gives us an idea of
surface area of gift.
16. Volume of a solid
object refers to the
amount of space it
occupies or contains.
For example : The
amount of water a
swimming pool can
hold gives us an idea
of the volume of the
swimming pool.
17.
18. SURFACESURFACE
AREAAREAIf each edge of cube is a units, its
Total surface area = 6a2
sq. units
Area of the faces leaving the top
And the bottom ones is known as
Its L.S.A. (Lateral Surface Area).
L.S.A. of cube = 4a2
sq. units
21. TOTAL SURFACETOTAL SURFACE
AREAAREA Surface area of a
cuboid =
2 × lb Top and bottom
+ 2 × bh Front and back
+ 2 × lh Left and right side
= 2(lb + bh + lh)
h
l
b
23. VOLUMEVOLUME
Volume of a cuboid =
Length × Breadth × Height
Or
V = l × b × h
Where, V = volume
l = length, b = breadth
h = height
24.
25. WHAT IS A RIGHTWHAT IS A RIGHT
CIRCULARCIRCULAR
CYLINDER ?CYLINDER ? A cylinder is a
right circular
cylinder if :
Its base is a circle
and
Radius of the
base is
perpendicular to
its height.
26. SURFACE AREASURFACE AREA
C.S.A. of cylinder
= Area of
rectangular sheet
= 2πrh
o T.S.A. of cylinder
= C.S.A. + Lid area
+ Base area
= 2πrh + πr2
+ πr2
= 2πr (h+r)
29. WHAT IS A RIGHTWHAT IS A RIGHT
CIRCULAR CONE?CIRCULAR CONE?
In a right circular
cone, the radius
of the circular
base is
perpendicular to
its height.
Also, Slant Height
l =
Height h
Base
r
Slant Height
l
30. CURVED SURFACECURVED SURFACE
AREAAREA
l l
2πr
r
Area of sector = Circumference of arc
Area of circle Circumference of circle
Area of sector = 2πr × πl 2
= πrl
2πl
C.S.A. of cone = Area of sector = πrl