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
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.
18.
19.
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
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
25. VOLUMEVOLUME
Volume of a cuboid =
Length × Breadth × Height
Or
V = l × b × h
Where, V = volume
l = length, b = breadth
h = height
26.
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)
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
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)