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Development of surfaces
• A Development is the unfolded or unrolled, flat or
plane figure of a 3-D object.
• Development is a graphical method of obtaining the
area of the surfaces of a solid. When a solid is
opened out and its complete surface is laid on a
plane, the surface of the solid is said to be
developed. The figure thus obtained is called a
development of the surfaces of the solid or simply
development.
DEVELOPMENT
The following two methods are mainly employed to obtain the
development of surfaces of solids:
1. Parallel line development: This method is employed to develop the
surfaces of prisms and cylinders. Two parallel lines (called stretch-out
lines) are drawn from the two ends of the solids and the lateral faces
are located between these lines.
2. Radial line development: This method is employed to develop the
surfaces of pyramids and cones. An arc of radius equal to the slant
edge/generator is drawn and the lateral faces/curved face are marked
properly inside the arc.
METHOD OF DEVELOPMENT
Examples
Development of a Right
Rectangular Prism
Development of a Right regular
cylinder
Truncated Cylinder
Example 1
• PARALLEL LINE DEVELOPMENT
• Example 1: The cube of side 50 mm.
Develop all the faces of the cube.

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Development of surfaces

  • 2. • A Development is the unfolded or unrolled, flat or plane figure of a 3-D object. • Development is a graphical method of obtaining the area of the surfaces of a solid. When a solid is opened out and its complete surface is laid on a plane, the surface of the solid is said to be developed. The figure thus obtained is called a development of the surfaces of the solid or simply development. DEVELOPMENT
  • 3. The following two methods are mainly employed to obtain the development of surfaces of solids: 1. Parallel line development: This method is employed to develop the surfaces of prisms and cylinders. Two parallel lines (called stretch-out lines) are drawn from the two ends of the solids and the lateral faces are located between these lines. 2. Radial line development: This method is employed to develop the surfaces of pyramids and cones. An arc of radius equal to the slant edge/generator is drawn and the lateral faces/curved face are marked properly inside the arc. METHOD OF DEVELOPMENT
  • 5. Development of a Right Rectangular Prism
  • 6. Development of a Right regular cylinder
  • 8. Example 1 • PARALLEL LINE DEVELOPMENT • Example 1: The cube of side 50 mm. Develop all the faces of the cube.