POWER POINT PRESENTATION ON SURFACE AREA AND VOLUME FOR CLASS10th MATHS.it is on mensuration . we can find surface area and volume of cube.cuboid,sphere,cylinder,cone,frustum,hemi sphere

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12. AMIT KU.BHATANAGARAMIT KU.BHATANAGAR

16. INTRODUCTION:INTRODUCTION:
--
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 apple juice?
If so, then you've filled the volume of a glass
with apple juice.
Not only this, but in day-to-day life, we
come across many activities which involve the

17. Surface Area of an object refers
to the total area of all its sides.
Lateral Surface Area of an object
refers to the total area excluding
its base and top.

20. SURFACE AREASURFACE AREA
If 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. VOLUMEVOLUME
 Volume of a
cube of
edge a units
is a3
cubic
units.
 (side)³

23. 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

24. LATERAL SURFACELATERAL SURFACE
AREAAREA
 L.S.A. of cuboid =
T.S.A. – Area of
top and base
= 2(lb + bh + lh)–
2(lb)
= 2 (bh + hl)
= 2 (l+b) × h

25. VOLUMEVOLUME
 Volume of a cuboid =
Length × Breadth × Height
Or
V = l × b × h
Where, V = volume
l = length, b = breadth
h = height

27. WHAT IS A RIGHTWHAT IS A RIGHT
CIRCULARCIRCULAR
CYLINDERCYLINDER ?? A cylinder is a
right circular
cylinder if :
 Its base is a circle
and
 Radius of the
base is
perpendicular to
its height.

28. SURFACE AREASURFACE AREA
 L.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. VOLUMEVOLUME
 Volume of a cylinder
= Area of base ×
height
= πr2
h

31. 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

32. 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

33. TOTAL SURFACETOTAL SURFACE
AREAAREA
 T.S. A. of Cone = C.S.A. + Base Area
= πrl + πr2
= πr (l +r)
l
2
B rπ=
r

34. VOLUMEVOLUME
 Volume of Cone
= 1 × Volume of Cylinder
3
= 1 × πr2
h
3

36. SURFACE AREASURFACE AREA
AND VOLUMEAND VOLUME
 Surface area of sphere = 4πr2
 Volume of sphere = 4πr3

38. SURFACESURFACE
AREA ANDAREA AND
VOLUMEVOLUME C.S.A. of hemisphere = 2πr2
 T.S.A. of hemisphere = C.S.A. + Base Area
= 2πr2
+ πr2
= 3πr2
 Volume of hemisphere = 2 πr3
3

40. Total Surface Area Of A Frustum:Total Surface Area Of A Frustum:
П(r+R)l +П(r+R)l + ППrr 22
++ ППRR 22
=П(r+R)l +=П(r+R)l + ПП(r(r 22
+ R+ R22
))
Curved Surface Area Of A Frustum:Curved Surface Area Of A Frustum:
П(r+R)lП(r+R)l

41. Volume Of A Frustum:Volume Of A Frustum:
1/31/3 ППh(rh(r 22
+R+R 22
+Rr)+Rr)