This document provides information about different 3D shapes - cube, cuboid, cylinder, cone, and sphere. It defines each shape, provides examples, and describes key properties like surface area and volume formulas. Examples are also given to demonstrate calculating the volume of each shape using the relevant formula when given dimensions like side length, radius, or height.

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

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

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

5. 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.

6.  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.

7. EXAMPLE
Q. Find the volume of a
cube of side 5 cm.
VOLUME=A3
=5*5*5
=125

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

9.  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.

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

11. • 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

12. • 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.

13. 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

14. A sphere is a solid with
all its points the same
distance from the center.
e.g.ball,earth,bubbles,ora
nge

15. • 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.

16. 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

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

18. • 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

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

20. 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