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Prepared by: Er. Vikrant
Engineering Design And
Graphics
Projection of Solids
2/12/2021 1
Prepared by: Er. Vikrant
Solids
 Solids of Revolution
Cone
Cylinder
Sphere
 Polyhedron
Regular polyhedron
Irregular Polyhedron
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Regular Polyhedron
 Tetrahedron: Four equal equilateral triangular
face
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 Cube/hexahedron  six equal square faces
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 Octahedron eight equal equilateral
triangular faces
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 Dodecahedron  twelve equal regular
pentagonal faces
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 Icosahedrons  twenty equal equilateral
triangular faces
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Irregular Polyhedrons
 Prism:
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 Triangular Prism
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 Square Prism
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 Pentagonal prism
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 Hexagonal Prism
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 Pyramid
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 Square Pyramid
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 Triangular Pyramid
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 Pentagonal Pyramid
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 Hexagonal Pyramid
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 Regular and Irregular Solids
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 Right and Oblique Solids
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 Frustum and Truncated Solids
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Solids of Revolution
 Cylinder
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 Cone
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 Sphere
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Prepared by: Er. Vikrant
Projections of Solids in Different
Positions
1. Axis perpendicular to one of the Principal
plane and Parallel to other
2. Axis parallel to both HP and VP
3. Axis inclined to one of the Principal planes
and Parallel to other
4. Axis inclined to both HP and VP
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Prepared by: Er. Vikrant
Axis perpendicular to one of the
Principal plane and Parallel to other
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Problem No. 1
 Draw the projections of a cone, resting in HP
on its base with base diameter 40mm and
height 60mm.
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Prepared by: Er. Vikrant
陸40
60
2
1
O
1 2
O Y
X
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Prepared by: Er. Vikrant
Axis parallel to both HP and VP
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Prepared by: Er. Vikrant
Problem No. 2
 A right regular hexagonal prism, edge of base
30mm and length 50mm, lies on one of its
rectangular faces on HP, such that axis is
parallel to both HP and VP. Draw its
projection.
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Prepared by: Er. Vikrant
c
b,d
p
a,e
f
3
2,4
p
1,5
6
4,5
3,6
d,e
c,f
a,b
1,2
p
6,f
5,e 4,d
3,c
2,b
1,a
Z
Y
X
Y
30
2/12/2021
Prepared by: Er. Vikrant
Axis inclined to one of the Principal
planes and Parallel to other
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Prepared by: Er. Vikrant
Problem No. 3
 A right regular hexagonal pyramid, edge of
base 30mm and axis 60mm long, has an edge
of its base in HP, such that its axis is inclined at
30属 to the HP and parallel to the VP. Draw its
projections.
2/12/2021 32
Prepared by: Er. Vikrant
2/12/2021 33
X Y
1
6
5
4
3
2
1,2
3,6
o
4,5
4,5 
3 ,6 
2 ,1 
o 
5 
4 
6 
3 
1 
2 
o 
0
60
30
Prepared by: Er. Vikrant
Axis inclined to both HP and VP
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Prepared by: Er. Vikrant
Problem No. 4
 A right regular pentagonal prism, side of base
30mm and height 70mm, rests on one of its
base corners on HP such that its long edge
containing the corner is inclined to the HP at
45属 and the side of base opposite to the
corner is inclined at 45属 to the VP. Draw its
projections.
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Prepared by: Er. Vikrant
2/12/2021 36
X Y
1,a
1
5,e
4,d
2,b
3,c
3,4 2,5
a
b,e
c,d
3 ,4 
2 ,5 
1 
c ,d 
b ,e 
a 
3 
4 
2 
5 
1 
c
d
b

e
a
1 
2 
3 
4  5 
a 
b 
c
d  e 
c d
e
a
b
3
2
4
1
5
o o o
O 
o 
o 
o
Prepared by: Er. Vikrant
2/12/2021 37

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Projection of solids

  • 1. Prepared by: Er. Vikrant Engineering Design And Graphics Projection of Solids 2/12/2021 1
  • 2. Prepared by: Er. Vikrant Solids Solids of Revolution Cone Cylinder Sphere Polyhedron Regular polyhedron Irregular Polyhedron 2/12/2021 2
  • 3. Prepared by: Er. Vikrant Regular Polyhedron Tetrahedron: Four equal equilateral triangular face 2/12/2021 3
  • 4. Prepared by: Er. Vikrant Cube/hexahedron six equal square faces 2/12/2021 4
  • 5. Prepared by: Er. Vikrant Octahedron eight equal equilateral triangular faces 2/12/2021 5
  • 6. Prepared by: Er. Vikrant Dodecahedron twelve equal regular pentagonal faces 2/12/2021 6
  • 7. Prepared by: Er. Vikrant Icosahedrons twenty equal equilateral triangular faces 2/12/2021 7
  • 8. Prepared by: Er. Vikrant Irregular Polyhedrons Prism: 2/12/2021 8
  • 9. Prepared by: Er. Vikrant Triangular Prism 2/12/2021 9
  • 10. Prepared by: Er. Vikrant Square Prism 2/12/2021 10
  • 11. Prepared by: Er. Vikrant Pentagonal prism 2/12/2021 11
  • 12. Prepared by: Er. Vikrant Hexagonal Prism 2/12/2021 12
  • 13. Prepared by: Er. Vikrant Pyramid 2/12/2021 13
  • 14. Prepared by: Er. Vikrant Square Pyramid 2/12/2021 14
  • 15. Prepared by: Er. Vikrant Triangular Pyramid 2/12/2021 15
  • 16. Prepared by: Er. Vikrant Pentagonal Pyramid 2/12/2021 16
  • 17. Prepared by: Er. Vikrant Hexagonal Pyramid 2/12/2021 17
  • 18. Prepared by: Er. Vikrant Regular and Irregular Solids 2/12/2021 18
  • 19. Prepared by: Er. Vikrant Right and Oblique Solids 2/12/2021 19
  • 20. Prepared by: Er. Vikrant Frustum and Truncated Solids 2/12/2021 20
  • 21. Prepared by: Er. Vikrant Solids of Revolution Cylinder 2/12/2021 21
  • 22. Prepared by: Er. Vikrant Cone 2/12/2021 22
  • 23. Prepared by: Er. Vikrant Sphere 2/12/2021 23
  • 24. Prepared by: Er. Vikrant Projections of Solids in Different Positions 1. Axis perpendicular to one of the Principal plane and Parallel to other 2. Axis parallel to both HP and VP 3. Axis inclined to one of the Principal planes and Parallel to other 4. Axis inclined to both HP and VP 2/12/2021 24
  • 25. Prepared by: Er. Vikrant Axis perpendicular to one of the Principal plane and Parallel to other 2/12/2021 25
  • 26. Prepared by: Er. Vikrant Problem No. 1 Draw the projections of a cone, resting in HP on its base with base diameter 40mm and height 60mm. 2/12/2021 26
  • 27. Prepared by: Er. Vikrant 陸40 60 2 1 O 1 2 O Y X 2/12/2021 27
  • 28. Prepared by: Er. Vikrant Axis parallel to both HP and VP 2/12/2021 28
  • 29. Prepared by: Er. Vikrant Problem No. 2 A right regular hexagonal prism, edge of base 30mm and length 50mm, lies on one of its rectangular faces on HP, such that axis is parallel to both HP and VP. Draw its projection. 2/12/2021 29
  • 30. Prepared by: Er. Vikrant c b,d p a,e f 3 2,4 p 1,5 6 4,5 3,6 d,e c,f a,b 1,2 p 6,f 5,e 4,d 3,c 2,b 1,a Z Y X Y 30 2/12/2021
  • 31. Prepared by: Er. Vikrant Axis inclined to one of the Principal planes and Parallel to other 2/12/2021 31
  • 32. Prepared by: Er. Vikrant Problem No. 3 A right regular hexagonal pyramid, edge of base 30mm and axis 60mm long, has an edge of its base in HP, such that its axis is inclined at 30属 to the HP and parallel to the VP. Draw its projections. 2/12/2021 32
  • 33. Prepared by: Er. Vikrant 2/12/2021 33 X Y 1 6 5 4 3 2 1,2 3,6 o 4,5 4,5 3 ,6 2 ,1 o 5 4 6 3 1 2 o 0 60 30
  • 34. Prepared by: Er. Vikrant Axis inclined to both HP and VP 2/12/2021 34
  • 35. Prepared by: Er. Vikrant Problem No. 4 A right regular pentagonal prism, side of base 30mm and height 70mm, rests on one of its base corners on HP such that its long edge containing the corner is inclined to the HP at 45属 and the side of base opposite to the corner is inclined at 45属 to the VP. Draw its projections. 2/12/2021 35
  • 36. Prepared by: Er. Vikrant 2/12/2021 36 X Y 1,a 1 5,e 4,d 2,b 3,c 3,4 2,5 a b,e c,d 3 ,4 2 ,5 1 c ,d b ,e a 3 4 2 5 1 c d b e a 1 2 3 4 5 a b c d e c d e a b 3 2 4 1 5 o o o O o o o
  • 37. Prepared by: Er. Vikrant 2/12/2021 37