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INTERPENETRATION OF SOLIDS

INTERPENETRATION OF SOLIDS. 2006 HIGHER LEVEL QUESTION 4. Set up plan and elevation as given in question. End view of uncut prism required to determine heights. Project auxiliary in line with interpenetrating solid. . Project perpendicular to X1, Y1.

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INTERPENETRATION OF SOLIDS

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  1. INTERPENETRATION OF SOLIDS 2006 HIGHER LEVEL QUESTION 4

  2. Set up plan and elevation as given in question. End view of uncut prism required to determine heights.

  3. Project auxiliary in line with interpenetrating solid.

  4. Project perpendicular to X1, Y1

  5. Determine projections of square based prism in auxiliary. Where are distances taken from?

  6. Projection lines for cut pentagonal prism. Distances taken from X,Y line to plan.

  7. Draw pentagonal prism in auxiliary.

  8. Insure to index all aspects of drawing.

  9. Locating corner 4: project from c, through 4 to locate point on DD line.

  10. Project back up to elevation to cut DD.

  11. Join up to point C, where this construction line intersects the edge 4, locates the point where 4 penetrates the pentagonal prism.

  12. Drop to corresponding edge in plan.

  13. Locating point b: where b is located on the edge C,D we project up to elevation to cut corresponding line. This gives us the point on the corner in elevation.

  14. Drop to plan, index points and join points accordingly.

  15. Same procedure for point c, in elevation.

  16. To locate c in plan, drop vertically from elevation, take distance from auxiliary as shown and apply in plan.

  17. Take line from D, through 3 to enable its location in elevation. Same method as for point 4 at start.

  18. Locate d similar to c.

  19. Where edge 1 meets the cut surface of the pentagonal prism is its point in elevation. Drop to corresponding line in plan to determine location.

  20. Start same process again to locate where prism protrudes from back of pentagonal prism. Take particular care to where object turns corners on reverse of solid.

  21. Locating points on the ground at base of cut surface.

  22. Points on ground at end of square based prism. Ensure to project from where they cut Ensure to project from where they cut X,Y in elevation.

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