Class -IXth
Mr.Vinod Kumar Meena
JNV NANDURBAR-II
TGT-Mathematics
SURFACE AREA AND VOLUME
CUBE :- A solid three-dimensional geometric figure bounded by ,six square face, sides , with three meeting at each vertex.
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a2
a3
FINDING THE SURFACE AREA OF CUBE.
a
a
a
a
a
a
a
a
a
a
a
a
FINDING LATERAL SURFACE AREA OF CUBE:-
FINDING THE VOLUME OF CUBE :-
a
a
a
CUBOID :- A three-dimensional geometric figure Which has six rectangular face at right angle each other.
b
h
l
FINDING TOTAL SURFACE AREA OF CUBOID:-
b
h
l
l
l
l
h
h
h
b
b
b
FINDING LATERAL SURFACE AREA OF CUBOID :-
FINDING VOLUME OF CUBOID:-
b
h
l
CYLINDER:- Cylinder consists of two circular bases of equal area in parallel planes, that are connected by a lateral surface that intersects the boundaries of the bases.
h
r
FINDING CURVED
SURFACE AREA OF CYLINDER:-
h
r
TOTAL SURFACE AREA OF Cylinder :-
h
r
FINDING VOLUME OF CYLINDER :-
h
r
CONE :- A surface generated by a straight line that moves along a closed curve while always passing through a fixed point.
h
r
l
h
r
l
FINDING CURVED SURFACE AREA OF
CONE :-
h
r
l
FINDING TOTAL SURFACE AREA OF CONE :-
h
r
l
FINDING VOLUME OF CONE :-
SPHERE :- Surface of which every point is the same distance from a fixed point known as the centre. From every aspect it has the same appearance. A sphere may be described by the rotation of a semicircle or circle, about its diameter.
r
r
FINDING SURFACE AREA OF SPHERE :-
r
FINDING VOLUME OF SPHERE :-
r
HEMISPHERE :-
‘Hemi’ also means ‘half’. So When Sphere is Divided into two equal parts Each equal part is called Hemisphere
r
FINDING CURVED SURFACE AREA OF HEMISPHERE
r
TOTAL SURFACE AREA OF HEMISPHERE
r
VOLUME OF HEMISPHERE