Development of Surface | Pentagonal Base Pyramid | Radial Line Method | Engineering Drawing

Statement of Problem:- Develop the lateral surface of a pentagonal base pyramid having base edge 30 and height 70. It is truncated by a cutting plane which is passing through the distance of 30 MM from the apex at the angle of 45°.

Refer to the following video for developed surface after cutting the object:-
Development of Surface | Triangle Base Pyramid | Radial Line Method | Engineering Drawing
   • Development of Surface | Triangle Base Pyr...  


Development of Surface means unfolding or unrolling a three-dimensional (3D) object into a two-dimensional (2D) plane without stretching, tearing, or shrinking it. In simple words, it is the method of making a flat pattern that can be folded or rolled back into the original 3D shape.

Importance of Development of Surface:
Helps in manufacturing sheet metal parts, ducts, and containers.
Useful in pattern making for fabrication work.
Essential in industries like aerospace, shipbuilding, automotive, and construction.
Reduces material wastage by accurate cutting of flat sheets.

Examples of Surface Development:
Making a cylinder (like a pipe) from a flat sheet.
Creating cones, prisms, and pyramids from flat patterns.
Designing ducts, storage tanks, and funnels.

Radial Line Method is a technique used in development of surfaces to unfold objects that have curved surfaces meeting at a point, such as cones and pyramids. In the radial line method, the development is made by drawing lines radiating from the apex (tip) of the cone or pyramid, just like the spokes of a wheel. Each slant edge or generator is treated as a straight line from the apex, and the curved surface is flattened into a sector of a circle.

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