Development of hexagonal pyramid with a hole
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The document outlines 16 steps to develop a hexagonal pyramid with a hole from its front, top, and side views. It involves drawing the base and hole, identifying cut edges, finding true lengths, plotting edges on an arc representing the slant height, and transferring cutting points and edges to the unfolded development. Careful naming and measuring is required to avoid errors in the developed figure. Additional practice is recommended to fully understand the process.
Development of hexagonal pyramid with a hole
- 1. Development of Hexagonal Pyramid with a Hole Development Steps SUBIN B MARKOSE
- 2. Question
- 3. Step 1 • Draw the front and top view of the pyramid in the given dimensions. • Naming is very important for this problem.
- 5. Step 2 • Mark the center of the hole ( represented by '1') at a height of 20 mm from the base.
- 7. Step 3 • Draw the hole with center at '1' and diameter 30 mm. • Note the edges of the pyramid that will get cut by the hole.
- 9. Step 4 • Name the edges that are cut by the hole.
- 11. Step 5 • To get additional cutting points for getting an effective figure, we are drawing additional two edges. • The edges are tangential to the hole. • Note: This step provides additional cutting points so that development can be drawn correctly.
- 13. Step 6 • Name the cutting points.
- 15. Step 7 • For starting the development, we need true slant height, which is represented by O-A or O-D • Here O-A is selected.
- 17. Step 8 • With O-A as radius, draw an arc.
- 19. Step 9 • We have to mark the base edges of the pyramid on the arc. • Take the length of base edge = 30 mm and plot on the arc.
- 21. Step 10 • Join A & B so that edge A - B is plotted.
- 23. Step 11 • Similarly plot other edges on the arc and join them so that all base edges are plotted.
- 26. Step 12 • Now focus on front and top views. • The edges drawn on front view are plotted on top view. • Check the images and mark all the edges correctly. • Take care to mark the edges neatly so that figure is not too complex.
- 29. Step 13 • Those edges are plotted on to the development. • For this, select the distance on top view, that means, select distance 'a - g' on top view and mark on development to get 'A - G'. • Similarly do for other edges.
- 33. Step 14 • Now the axis of the pyramid is also get cut by the hole. • Name those edges in top view and on development.
- 36. Step 15 • Next we have to plot the cutting points on to development. • Select point 9'. It is cut on axis. We need its true height where the point is cut. • O - a' is true length. So draw a horizontal line from 9' to slant height O - a' and mark 9''.
- 38. Step 16 • Take the length O - 9'' and plot on development. • It is cut on axis edge which is represented on development as O - O1 and O - O2.
- 40. Step 16 • Similarly take true length of the cutting points as done in previous slide and mark them on development.
- 46. Comments • Draw very carefully • Mistakes in naming will result in a wrong figure • Any missing edge or corner can be assumed. • Must practice and study.
- 47. • Additional images if any doubt exists...
- 50. • End of presentation...