This document provides an overview of 3-dimensional shapes, including definitions, examples, and key terms. It begins by defining dimensions and reviewing 0D, 1D, and 2D shapes. It then defines 3D shapes as having length, width, and height. Important 3D shape terms are introduced, such as faces, edges, and vertices. Common 3D shapes - cubes, cuboids, cones, cylinders, and spheres - are defined with their geometric properties. The document emphasizes that studying 3D shapes helps students develop visual thinking and understand relationships between shapes and sizes in the real world.
4. REVIEW
Before discussing 3-D shapes ………. Let us review
some important related terms to understand 3-D
shapes i.e
What is meant by DIMENSIONAL
What is meant by NO DIMENSIONAL
What is meant by ONE-DIMENSIONAL
What is meant by 2-DIMENSIONAL
What is meant by 3-DIMENSIOAL
Definition of 3-D shape
What is meant by Face, Edge and Vertex in A 3-D
shape
(In 3-D shapes these are very important to know)
5. DIMENSIONAL
The definition of dimensional is something a
shape that can be measured. In Geometry we can
have different dimensions.
An example of dimensional is a physical
object with length, width and depth.
The number of dimensions is…. how many
values are needed to locate points on a shape.
6. • NO DIMENSIONAL
• POINT: A point has no dimension.
•A point really has no size at all! But we show
them as dots so we can see where they are.
• ONE DIMENSIONAL
•LINE : Now let's allow the point to move in one
direction i.e (right or left), (forward or
backward). We get a line.
We need just one value to find a point on that
line. So we have one dimension. A line is one-
dimensional.
7. • 2- DIMENSIONAL
• Now lets allow the point to move in a two
directions i.e (forward or backward) & (up and
down) , and we get a shape called plane having
length and breadth only. Here we need two
values to find a point on that plane. So we have
two dimensions i.e "2D".
Circles, triangles, squares etc. are examples of
plane shapes
LENGTH
BREADTH
9. 2-DIMENSIONAL SIMILAR SHAPES
The figures having same shapes only are called
SIMILAR shapes for example different types of
triangles, squares or rectangles etc.
Symbol for Same shape
2-DIMENSIONAL CONGRUENT SHAPES
The figures having same shape and same size are
called CONGRUENT shapes for example congruent
triangles, congruent squares or congruent rectangles
etc. Symbols for……..
Same shape is and same size is
By combining these two symbols we get a symbol for congruency
i.e ……………………………… (cont.)
13. • 3-DIMENSIONAL
Now we let the point to move in another completely different
directions and we have length ,breadth and height i.e three
dimensions.
Spheres, cubes, cylinders etc. are 3-dimensional or "3D” shapes .
We also call them solid shapes.
• The world we live in is a 3-Dimensional.
• Our body is a 3-Dimensional
LENGTH
HEIGHT
BREADTH
15. DEFINITION
In mathematical terms, a 3D shape means… a shape
having three dimensions. The D in '3D' stands for
dimensional. In a world with three dimensions, we can
travel forwards-backwards, right-left, and even up and
down i.e along its Length, Breadth and Height.
HEIGHT
LENGTH
BREADTH
17. •FACES of 3-D shape
The flat surface of a 3-D shape is called Face of a
3-D shape.
FACE FACE
FACE
18. •EDGES of 3-D shape
A line where two faces of a 3-D shape meet is called
edge of the 3-D shape
EDGE
EDGE
EDGE
EDGE
EDGE
19. •VERTICES of a 3-D shape
The point where three faces meet each other is called
vertex (plural vertices) or corner of a 3-D shape
.vertex
.vertex
.vertex
.vertex .vertex
.vertex
21. •CUBE
In geometry, a cube is a three-dimensional solid
object bounded by six square faces, or sides i.e
same in measurements meeting at each vertex. It
has 12 edges, 6 faces and 8 vertices.
•6 ………… FACES
•12…………. EDGES
•8 …………. VERTICES
•All the edges are
same in measurement
22. •CUBOID
In geometry, a cuboid is a three-dimensional solid
object bounded by six Rectangular faces, or sides i.e
not same in measurements meeting at each vertex. It
has 12 edges, 6 faces and 8 vertices.
•6 ………… FACES
•12…………. EDGES
•8 …………. VERTICES
•All the edges are not
same in measurement
23. •CONE
In geometry, a cone is a three-dimensional
solid shape that tapers smoothly from a flat
base to a point called the apex or vertex of the
cone.
• 2 ………… FACES
• 1…………. EDGE
• 1 …………. VERTEX
24. •CYLINDER
In geometry, a cylinder is a three-dimensional
solid shape having 3 faces in which 2 are circular
and one is a rectangular. It has 2 edges and no
vertices (no corners).
• 3 ………… FACES
• 2…………. EDGES
• 0 ………….VERTEX
25. •SPHERE
In geometry, a sphere is a three-dimensional
solid shape having no faces, no edges, no vertices.
actually it is a curved three-dimensional geometric
figure.
• 1………… FACES(Curved)
• 0 …………. EDGES
• 0..……. VERTICES
27. Geometry
is a good
training
ground for
the
students
to understand the wonders of the
world’s shapes and appreciate it.
to apply and understand the
relationship between shapes and sizes
to think with visual abilities about any
of the shape.
to understand creative thinking of ones
for the construction about any of the
shape.
to apply and understand the
relationship between shapes and sizes
to make use of concrete materials and
activities.
