Solid Shapes or 3-D Shapes

# Solid Shapes or 3-D Shapes

## 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.

Cuboid: A cuboid has 6 rectangular plane faces, 8 vertices and 12 edges.

Cone: A cone has 1 plane and 1 curved faces, 1 edge and 1 vertex.

Cylinder: A cylinder has 2 plane and 1 curved faces, 2 edges and no 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: