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Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 1
Computer Aided Engineering Drawing (20ME12P)
Unit – 02
Part 04 - PROJECTIONS OF SOLIDS
2.6 Projections of solids in various positions with respect to the reference planes. (Parallel,
perpendicular and inclined to HP and / or VP.)
PROJECTIONS OF SOLIDS
1. A triangular prism of base edge 40mm and height 65mm rests with one of its base edges on
HP so that the axis of the prism is inclined at 30° with HP. Draw the top and front views when
the axis of the prism is parallel to VP.
2. A square prism of base edge 40mm and height 70mm rests with one of its base edges on HP.
The axis of the prism is inclined at 45 to HP and parallel to VP. Draw the top and the front views
of the prism.
3. A pentagonal prism of base 35mm and height 60mm has its base edge on HP. Draw the top
and front views, if the base of the prism is inclined at 30° to the HP. The axis of the prism is
parallel to the VP.
4. A Hexagonal prism of base 35mm and height 60mm is resting with its base edge on HP so that
the axis is inclined at 45° and parallel to VP. Draw its top and front views.
5. A triangular pyramid of base edge 40mm and height 65mm is resting with one of its base
corner on HP so that the axis of the pyramid is parallel to VP and inclined at 45° to HP. Draw the
top and front views.
6. Draw the top and front views of a hexagonal pyramid resting with one of its base corner on HP
such that the axis of the pyramid is inclined at 30° to HP. The hexagonal pyramid has its base
edges as 30mm and axis height as 60mm.
7. A pentagonal pyramid of base edge 30mm and axis height 65mm rests with one of its base
corners on HP so that the base of the pyramid is inclined at 45° to the HP. Draw the projections
if the axis of the pyramid is parallel to the VP.
8. A cylinder of 40mm diameter and axis height 65mm rests with its points of the circumference
on HP so that the axis is inclined at 45° to the HP and parallel to the VP. Draw the top and front
views.
9. A cone of 40mm diameter and axis height 65mm is resting with points of the circumference on
HP. Draw the top and front views, if the axis of the cone is inclined at 30° with HP and parallel
to VP.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 2
2.6 Projections of solids in various positions with respect to the reference planes. (Parallel,
perpendicular and inclined to HP and / or VP.)
Prisms:
A prism has certain properties:
 A prism is a type of solid (3D object) that has a polygon as a base.
 The top face of a prism is exactly the same as the base of the prism.
 The top face of a prism is parallel to the base of the prism.
 The side faces of a prism are rectangles that are perpendicular to the base.
Pyramids:
A pyramid is an object that has a polygon as its base and sides that converge (meet each other)
at one single point. The sides are not perpendicular to the base.
The properties of a pyramid are:
 Total Faces are all sides and a base (A square-based pyramid has five faces.)
 The faces of a pyramid meet each other at an edge.
 The edges of a pyramid meet each other at a vertex.
 The edges of the triangles that form the side faces converge at a vertex called the apex.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 3
Cones
A cone is another example of a 3D object that has an apex.
The properties of a cone are:
 A cone has two faces. One of the faces is flat and the other face is curved.
 The base of a cone is a flat circle.
 A cone has only one side face, and this face is curved.
 A cone has only one edge. The edge of a cone is not a straight line - it is a curve.
 The edge of a cone is the circumference of the circle that forms the base of the cone.
 A cone has only one vertex.
Cylinders
In a cylinder, both the top and bottom faces are circles. The top and bottom faces are joined by a
curved surface that is perpendicular to the base.
The properties of a cylinder are:
 A cylinder has two flat faces and one curved face:
 The top face of a cylinder is also a circle. The two circles are equal.
 a cylinder has three faces: two flat circles and one curved surface.
 The faces of a cylinder meet each other at two edges.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 4
Resting Position in Horizontal Plane (HP) for Prisms
Base Edge or Side Resting on HP Base Corner Resting on HP
Triangular Prism
Square Prism
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 5
Pentagon Prism
Hexagon Prism
Resting Position in Horizontal Plane (HP) for Pyramids
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 6
Base Edge or Side Resting on HP Base Corner Resting on HP
Triangular Pyramid
Square Pyramid
Pentagon Pyramid
Hexagon Pyramid
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 7
PROJECTIONS OF SOLIDS
1. A triangular prism of base edge 40mm and height 65mm rests with one of its base edges
on HP so that the axis of the prism is inclined at 30° with HP. Draw the top and front views
when the axis of the prism is parallel to VP.
2. A square prism of base edge 40mm and height 70mm rests with one of its base edges on
HP. The axis of the prism is inclined at 45 to HP and parallel to VP. Draw the top and the
front views of the prism.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 8
3. A pentagonal prism of base 35mm and height 60mm has its base edge on HP. Draw the
top and front views, if the base of the prism is inclined at 30° to the HP. The axis of the
prism is parallel to the VP.
4. A Hexagonal prism of base 35mm and height 60mm is resting with its base edge on HP
so that the axis is inclined at 45° and parallel to VP. Draw its top and front views.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 9
5. A triangular pyramid of base edge 40mm and height 65mm is resting with one of its base
corner on HP so that the axis of the pyramid is parallel to VP and inclined at 45° to HP.
Draw the top and front views.
6. Draw the top and front views of a hexagonal pyramid resting with one of its base corner
on HP such that the axis of the pyramid is inclined at 30° to HP. The hexagonal pyramid
has its base edges as 30mm and axis height as 60mm.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 10
7. A pentagonal pyramid of base edge 30mm and axis height 65mm rests with one of its
base corners on HP so that the base of the pyramid is inclined at 45° to the HP. Draw the
projections if the axis of the pyramid is parallel to the VP.
8. A cylinder of 40mm diameter and axis height 65mm rests with its points of the
circumference on HP so that the axis is inclined at 45° to the HP and parallel to the VP.
Draw the top and front views.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 11
9. A cone of 40mm diameter and axis height 65mm is resting with points of the
circumference on HP. Draw the top and front views, if the axis of the cone is inclined at 30°
with HP and parallel to VP.

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Computer Aided Engineering Drawing 20ME12P Unit 02 Part 04 PROJECTIONS OF SOLIDS

  • 1. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 1 Computer Aided Engineering Drawing (20ME12P) Unit – 02 Part 04 - PROJECTIONS OF SOLIDS 2.6 Projections of solids in various positions with respect to the reference planes. (Parallel, perpendicular and inclined to HP and / or VP.) PROJECTIONS OF SOLIDS 1. A triangular prism of base edge 40mm and height 65mm rests with one of its base edges on HP so that the axis of the prism is inclined at 30° with HP. Draw the top and front views when the axis of the prism is parallel to VP. 2. A square prism of base edge 40mm and height 70mm rests with one of its base edges on HP. The axis of the prism is inclined at 45 to HP and parallel to VP. Draw the top and the front views of the prism. 3. A pentagonal prism of base 35mm and height 60mm has its base edge on HP. Draw the top and front views, if the base of the prism is inclined at 30° to the HP. The axis of the prism is parallel to the VP. 4. A Hexagonal prism of base 35mm and height 60mm is resting with its base edge on HP so that the axis is inclined at 45° and parallel to VP. Draw its top and front views. 5. A triangular pyramid of base edge 40mm and height 65mm is resting with one of its base corner on HP so that the axis of the pyramid is parallel to VP and inclined at 45° to HP. Draw the top and front views. 6. Draw the top and front views of a hexagonal pyramid resting with one of its base corner on HP such that the axis of the pyramid is inclined at 30° to HP. The hexagonal pyramid has its base edges as 30mm and axis height as 60mm. 7. A pentagonal pyramid of base edge 30mm and axis height 65mm rests with one of its base corners on HP so that the base of the pyramid is inclined at 45° to the HP. Draw the projections if the axis of the pyramid is parallel to the VP. 8. A cylinder of 40mm diameter and axis height 65mm rests with its points of the circumference on HP so that the axis is inclined at 45° to the HP and parallel to the VP. Draw the top and front views. 9. A cone of 40mm diameter and axis height 65mm is resting with points of the circumference on HP. Draw the top and front views, if the axis of the cone is inclined at 30° with HP and parallel to VP.
  • 2. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 2 2.6 Projections of solids in various positions with respect to the reference planes. (Parallel, perpendicular and inclined to HP and / or VP.) Prisms: A prism has certain properties:  A prism is a type of solid (3D object) that has a polygon as a base.  The top face of a prism is exactly the same as the base of the prism.  The top face of a prism is parallel to the base of the prism.  The side faces of a prism are rectangles that are perpendicular to the base. Pyramids: A pyramid is an object that has a polygon as its base and sides that converge (meet each other) at one single point. The sides are not perpendicular to the base. The properties of a pyramid are:  Total Faces are all sides and a base (A square-based pyramid has five faces.)  The faces of a pyramid meet each other at an edge.  The edges of a pyramid meet each other at a vertex.  The edges of the triangles that form the side faces converge at a vertex called the apex.
  • 3. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 3 Cones A cone is another example of a 3D object that has an apex. The properties of a cone are:  A cone has two faces. One of the faces is flat and the other face is curved.  The base of a cone is a flat circle.  A cone has only one side face, and this face is curved.  A cone has only one edge. The edge of a cone is not a straight line - it is a curve.  The edge of a cone is the circumference of the circle that forms the base of the cone.  A cone has only one vertex. Cylinders In a cylinder, both the top and bottom faces are circles. The top and bottom faces are joined by a curved surface that is perpendicular to the base. The properties of a cylinder are:  A cylinder has two flat faces and one curved face:  The top face of a cylinder is also a circle. The two circles are equal.  a cylinder has three faces: two flat circles and one curved surface.  The faces of a cylinder meet each other at two edges.
  • 4. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 4 Resting Position in Horizontal Plane (HP) for Prisms Base Edge or Side Resting on HP Base Corner Resting on HP Triangular Prism Square Prism
  • 5. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 5 Pentagon Prism Hexagon Prism Resting Position in Horizontal Plane (HP) for Pyramids
  • 6. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 6 Base Edge or Side Resting on HP Base Corner Resting on HP Triangular Pyramid Square Pyramid Pentagon Pyramid Hexagon Pyramid
  • 7. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 7 PROJECTIONS OF SOLIDS 1. A triangular prism of base edge 40mm and height 65mm rests with one of its base edges on HP so that the axis of the prism is inclined at 30° with HP. Draw the top and front views when the axis of the prism is parallel to VP. 2. A square prism of base edge 40mm and height 70mm rests with one of its base edges on HP. The axis of the prism is inclined at 45 to HP and parallel to VP. Draw the top and the front views of the prism.
  • 8. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 8 3. A pentagonal prism of base 35mm and height 60mm has its base edge on HP. Draw the top and front views, if the base of the prism is inclined at 30° to the HP. The axis of the prism is parallel to the VP. 4. A Hexagonal prism of base 35mm and height 60mm is resting with its base edge on HP so that the axis is inclined at 45° and parallel to VP. Draw its top and front views.
  • 9. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 9 5. A triangular pyramid of base edge 40mm and height 65mm is resting with one of its base corner on HP so that the axis of the pyramid is parallel to VP and inclined at 45° to HP. Draw the top and front views. 6. Draw the top and front views of a hexagonal pyramid resting with one of its base corner on HP such that the axis of the pyramid is inclined at 30° to HP. The hexagonal pyramid has its base edges as 30mm and axis height as 60mm.
  • 10. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 10 7. A pentagonal pyramid of base edge 30mm and axis height 65mm rests with one of its base corners on HP so that the base of the pyramid is inclined at 45° to the HP. Draw the projections if the axis of the pyramid is parallel to the VP. 8. A cylinder of 40mm diameter and axis height 65mm rests with its points of the circumference on HP so that the axis is inclined at 45° to the HP and parallel to the VP. Draw the top and front views.
  • 11. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 11 9. A cone of 40mm diameter and axis height 65mm is resting with points of the circumference on HP. Draw the top and front views, if the axis of the cone is inclined at 30° with HP and parallel to VP.