Solid Shapes or 3-D Shapes
Many objects that you see in your daily life such as
books, pencil box, football and gas cylinder are three-dimensional objects. All
these objects occupy some space and have three dimensions- length, breadth and
height.
Example: Cube, cuboid, cone, cylinder, sphere,
etc. are examples of the solid shapes.
Properties of 3-D Shapes
3-d shapes have four properties that set them apart from
2-d shapes: faces, vertices, edges and volume. These properties not only allow
you to determine whether the shape is 2-d or 3-d but also which 3-d shape it
is.
Faces, Edges and Vertices of a Solid Shapes
Faces: The surface of solid is called a face.
Edges: Edge of a solid is formed when two
faces meet.
Vertices: The point where three faces meet is
called the corner or vertex.
Cube: The cube has 6 identical plane faces,
8 vertices and 12 edges.
Cone: A cone has 1 plane and 1 curved faces, 1 edge and 1 vertex.
Sphere: A sphere has 1 curves face, no edge
and no vertex.
Nets of 3-D Shapes
·
A net is a two-dimensional representation of a
three-dimensional figure that is unfolded along its edges so that each face the
figure is shown in two dimensions.
·
A net is a pattern made when the surface of a
three-dimensional figure is laid out felt showing each face of the figure. A
solid may have different nets.
The above is a net pattern for a box. Try to make the
box by suitable folding and glueing together. The box is a solid figure. It is
a three-dimensional shape names cuboid.
We have different nets for different solid shapes.
Solved Example For You
Question. Draw two different nets of a cube.
Solution: