This math presentation discusses two-dimensional and three-dimensional shapes. It provides examples of 2D shapes like squares, triangles, and circles as well as 3D shapes like cones, cylinders, cubes, and spheres. The presentation shows different views of 3D objects that can be seen from the top, front, or side and how these views may appear differently depending on the perspective. Combinations of basic shapes are also demonstrated through examples like tents, ice cream cones, and photoframes.
3. introduction
We have learnt about plane shapes and solid shapes.
Plane shapes have two measurements like length and
breath and therefore they called two dimensional shapes.
Whereas a solid object has two measurements like
length , breath, height, or depth. Hence, they are called
three dimensional shapes.
Two dimensional object Three dimensional object
4. A solid object occupies some space. Two dimensional and
Three- dimensional figures can also be briefly named as 2-
D and 3-D figures. You may recall that triangle, rectangle,
circle etc., are 2-d figures while cubes, cylinders, cones,
spheres etc. are 3-Dimentional figures.
name of
shape type of shape
shape
2-Dimensional Square
3-Dimensional Cone
3-dimensional Cylinder
2- Triangle
dimensional
3-dimensional Cube
2-Dimensional Circle
3-Dimensional Cuboid
3-Dimensional Sphere
5. A tent. A cone A tin. A cylindrical
surmounted on a shell. Softy(ice-cream). A
cylinder. cone surmounted by a
hemisphere.
A photoframe . A A boul. A
hemispherical shell. Tomb on a pillar.
rectangular path.
Cylinder surmounted
by a hemisphere.
Note that all the above shapes are single. However, in our
practical life, many a times, we come across combinations
of different shapes. For example, look at the above objects.
6. views of 3-D shapes
A Groove A circular path around a circular ground.
A toy A rectangular field adjoining a square field.
A circular A cone taken out of a cylinder.
park
A cross path A hemisphere surmounted on a cone.
7. We have learnt that a 3-dimensional object can look
differently from different positions so they can be drawn
from different perspectives. For example, a given hut can
have the following views.
Top
front
side
hut
Top View
Side View
Front View
8. Similarly, a glass can have the following views.
A Glass
Side View Top View
9. Why is the top view of the glass a pair of concentric circles?
Will the side view appear different if take from some other
direction? Think about this! Now look at the different views of
a brick.
A Brick
Side view Top View
Front View
10. We can also get different views of figures made by joining
cubes. For example.
Solid made of Top view
Side view. Front view
three cubes.
Solid made up of Front view. Side view.
Top view
four cubes.
Side view. Front view. Top view.
Solid made of
four cubes.