Volume.ppt [recovered]

NAME-UDHAV ANAND
CLASS-VIIITH B
SUBMITTED TO-ANJALI
MAM

The faces which bound a solid are
called its surfaces and its area is
called surface area.

The amount of space occupied by
the bounding surface of a solid is
called volume

A cube is a region of
space formed by six
identical square faces
joined along their edges.
Three edges join at each
corner to form a vertex.
The cube can also be called
a regular hexahedron.

 A cube is a three dimensional shape that features all
right 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 a
certain surface area.
 11 different ‘nets’ can be made by folding out the 6
square faces of a cube.

EXAMPLE
Q. Find the volume of a
cube of side 5 cm.

VOLUME=A3
=5*5*5
=125

A solid bounded by
six rectangular plain
is called a cuboid
e.g.book,matchbox

 It has six flat sides and all angles are right angles
 It is also a prism because it has the same cross-section
along a length. In fact it is a rectangular prism
 A cuboid has 6 faces
 A cuboid has 8 points (vertices).
 A cuboid has 12 edges.

EXAMPLE
Q. Find the volume of a brick 10 cm by 5
cm by 4 cm.
Volume=l*b*h
=10*5*4
=200

• 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

• The height of the cone is always
perpendicular to the base
• A circular cone has a circular base, which is
connected by a curved surface to its vertex.
A cone is called a right circular cone, if the
line from the vertex of the cone to the center
of its base is perpendicular to the base.

EXAMPLE
Q. Find the volume of a cone whose height is
28 cm and radius of base is 21 cm
volume-(1/3)πr 2 h
= (1/3) *(22/7)*21*21*28cm 3
=12936cm 3

A sphere is a solid with
all its points the same
distance from the center.

e.g.ball,earth,bubbles,ora
nge

• A sphere is a perfectly round three
dimensional shape similar to a round ball
you might play sport with.
• All points on the surface of a sphere are the
same distance from the center.
• A sphere is perfectly symmetrical around its
center.

EXAMPLE
Q.Find the volume of sphere whose radius is
42 cm.
Radius=42 cm
volume=(4/3)πr3
= (4/3) *(22/7)*42*42*42
=15212736

A cylinder is a solid with
two congruent circles joined
by a curved surface
e.g.pencil stand,roal rooler

• A cylinder is a three dimensional object with a circular
base and straight parallel sides that looks similar to a can
of coke.
• It has a flat base and a flat top
• Because it has a curved surface it is not a polyhedron

EXAMPLE
Q. Find the volume of the following cylinder:
radius-12cm
height-24cm
volume-πr2h
=π*12 2 *24
=10857.34

S.N NAME OF SOLID T.S.A. C.S.A. VOLUME
O.
1 CUBOID 2(lb+bh+lh) 2(l+b)h lbh
2 CUBE 6a2 4a2 a3
3 CYLINDER 2 πr(h+r) 2πrh πr2h
4 CONE πr(l+r) πrl (1/3)πr2h
5 SPHERE 4πr2 2πr2 (4/3)πr3

Volume.ppt [recovered]

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Volume.ppt [recovered]