PRESENTED BY-
Puneet kakkar
Faraz ali khan
Mayank gangwar
Hazi rizwan
Faiz ali
Amit bhatt
Harvinder singh
Contents-Contents- CUBECUBE CUBOIDCUBOID
CYLINDER CYLINDER CONECONE
SPHERE HEMISPHERESPHERE HEMISPHERE
FRUSTUM OF CONEFRUSTUM OF CONE
See and appreciate first the following pictures. Be
amazed and have fun!
See how strange are
they? That is how geometry
is applied.
Geometric Solids in Three DimensionsGeometric Solids in Three Dimensions
Height
Length Width
SURFACES OF A CUBE
CubeCube
• Volume = Base area x height= L x L x L= L3
L
L
L
• Total surface area = 2LxL + 2LxL + 2LxL
= 6L2
Curved surface Area=2LXL + 2LXL
=4L2
Why the farmers in Japan growwatermelons in the shape of cube?
WEIRD OR WHAT??????
Why the farmers of Japan grew watermelons in the shape of cube?
Huge Watermelons in cube shape facilitates efficient storage and refrigeration!!
Good enough! For the same reason our “tea pack” and “match box” come in this shape.
“Storage
Friendly
shapes !!”
“godly shapes !!”
Side 2
Bottom
Back
Top
Side 1Front
Side 2
Bottom
Back
Top
Side 1Front
Length (L)Breadth (B)
Height (H)
Cuboid
CUBOIDCUBOID FRONT
BACK
BASE
LEFT RIGHT
TOP
LB
H
VOLUME OF CUBOID = Length x Breadth x Height = LBH
CSA OF CUBOID = 2 Height [Length + breadth] = 2h[l+b]
TSA OF CUBOID= 2[ LB + BH + HL]
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
1 cm
B=2cm L= 3cm
H=
3cm
LET DIMENSIONS OF CUBOID BE-
Length= 3cm
Breadth= 2cm
Height= 3cm
Therefore volume of this cuboid-
= L X B X H
=3cm X 2cm X 3cm
= 18 cubic cm.
this volume is also equals to-
= 18 x volume of cube of side 1cm………
Circumference of circle = 2 π r
Area covered by cylinder = Surface area of of cylinder = (2 π r) x( h)
r h
Outer Curved Surface area of cylinder
Activity -: Keep bangles of same radius one over another. It will form a cylinder.
It is the area covered by the outer surface of a cylinder.
Formation of Cylinder by bangles
Circumference of circle = 2 π r
r
Click to animate
Total Surface area of a solid cylinder
=(2 π r) x( h) + 2 π r2
Curved surface
Area of curved surface + area of two circular surfaces=
circular surfaces
= 2 π r( h+ r)
Volume of cylinder
Volume of cylinder = Area of base x vertical height
= π r2 X h
r
hr
Area= π r2
Surface area of cone
Baser
h
L = S
lant h
eigh
t
2πr
l
2πr
l
l
2πr
l
2πr
l
Surface area of cone
CSA OF CONE = π r l
TSA OF CONE= π r l + π r2
3( V ) = π r2h
r
h h
r
Volume of a Cone Click to See the experiment
Here the vertical height and radius of cylinder & cone are same.
3( volume of cone) = volume of cylinder
V = 1/3 π r2h
Mr. Mohan has only a little jar of juice he wants to distribute it to his three friends. This time he choose the cone shaped glass so that quantity of juice seem to appreciable.
4( 1/3πr2h ) = 4( 1/3πr3 ) = V
h=rr
Volume of a Sphere Click to See the experiment
Here the vertical height and radius of cone are same as radius of sphere.
4( volume of cone) = volume of Sphere
V = 4/3 π r3
r
BUCKETS are frustum of cone
Combination of some 3d figures
A funnel is combination of two Frustums Or a frustum and a cylinder…..
A shuttle cock is combinationOf a frustum and a hemishere
Rocket is a combination of cone and cylinder
Football is in the form of sphere
Bowls are in the formOf hemisphere…..