volume of solid surfaces

8/9/2019 Volume of solid surfaces

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NAME-UDHAV ANAND

CLASS-VIIITH B

SUBMITTED TO-ANJALIMAM


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http://www.kidsmathgamesonline.com/facts/geometry/spheres.html


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The faces which bound a solid are

called its surfaces and its area is

called surface area.


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The amount of space occupie !"

the !ounin# su$face of a so%i is

ca%%evolume


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A cube is a region of spaceformed by six identical

square faces joined alongtheir edges. Three edges joinat each corner to form avertex. The cube can also becalled a regular hexahedron.


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A cube is a three dimensional shape that features allright angles and a height, width and depth that are

all equal. Things that are shaped like a cube are often referred

to as ‘cubic’.

A cube has the largest volume of all cuboids with acertain surface area.

11 dierent ‘nets’ can be made b folding out the !square faces of a cube.


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E&AM'LE

() *in the +o%ume of acu!e of sie , cm)

VOLUME=A3

=5*5*5

=125


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A so%i !oune !"

si $ectan#u%a$ p%ain

is ca%%e a cu!oi

e)#)!oo./match!o


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It has six fat sides and all angles are rightangles

It is also a prism because it has the samecross-section along a length. In act it isa rectangular prism

A cuboid has 6 aces

A cuboid has 8 points (vertices).

A cuboid has ! edges.


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E&AM'LE() *in the +o%ume of a !$ic. 01 cm !" ,

cm !" 2 cm)

Volume=l*b*h

=10*5*4

=200


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• A cone is a three

dimensional object with a

circular base that narrows

toward a point, it looks

similar to an ice cream cone.

• E.g.ice-cream cone


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• The height of the cone is alwas perpendicular to the base

• A circular cone has a circular base,which is connected b a curvedsurface to its verte". A cone iscalled a right circular cone, if the

line from the verte" of the cone tothe center of its base is

perpendicular to the base.


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E&AM'LE#. $ind the volume of a cone

whose height is %& cm and

radius of base is %1 cm volume'(1)*+r %h

- (1)*+ (%%)/+%1%1%&cm*

-1%0*!cm*


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A sphere is a solid withall its points the same

distance from the center.

e.g.ball,earth,bubbles,orange


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• A sphere is a perfectl round threedimensional shape similar to a

round ball ou might pla sportwith.

• All points on the surface of asphere are the same distance from

the center.• A sphere is perfectl smmetrical

around its center.


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E&AM'LE

Q.Find the volume of sphere whoseradius is 42 cm.

Radius=42 cm volume=324567$ 5

= 32456 83994:6829829829

;0,909:5<


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A clinder is a solid with

two congruent circles 2oined b a curved surface

e.g.pencil stand,roalrooler


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• A c"linder is a three dimensionalob#ect $ith a circular base andstraight parallel sides that loo%ssimilar to a can o co%e.

• It has a fat base and a fat top• &ecause it has a curved surace it is

not a pol"hedron


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E&AM'LEQ. Find the volume of the following

cylinder:

radius-2cm height-24cm

volume-r2h

=1%%

%3 -14&5/.*3


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S.N

O.

NAME OF SOLID T.S.A. C.S.A. VOLUME

1 CUBOID 2(lb+bh+lh 2(l+bh lbh 2 CUBE !a 2 "a 2 a #

# C$LINDE% 2 &r(h+r 2&rh &r 2 h

" CONE &r(l+r &rl (1'#&r 2 h

S)*E%E "&r 2

2&r 2

("'#&r #


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volume of solid surfaces

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