• A solidmay be defined as a three dimensional
object having length, breadth and height
bounded by surface which may be plane or
curved or combination of the two
3.
Classification of solids
•Polyhedra: it is a latin word meaning “made of faces”
thus poluhedron is a solid bounded by plane surfaces
called faces.
• Regular polyhedra (all faces are equal, and regular
polygon e.g. :Tetrahedron, cube)
• prisms, pyramids are various (irregular)polyhedra,
which don’t have an identical faces.
4.
• Tetrahedron: fourequal equilateral triangular faces
• Cube: It has six equal square faces .
• Prisms:It is a polyhedra having two equal parallel
regular polygonal end faces joined by side faces
which are rectangle
• Pyramids: A pyramid is a polyhedron having a plane
surface as its base and a number of slant traingular
faces meeting at a point called vertex or apex,as its
side faces
Solids of revolution
•When solid is generated by revolution of a plane
figure about a line then this solid is named as a solid
of revolution
• Cylinder, cone. sphere
• When a rectangle is revolved about one of its longer
sides generates a cylinder, when a right angle
traingle is revolved about one of its perpendicular
sides generates a cone etc.
Frustrumes
• Frustrumes:obtained bycutting the solid by a
plane parallel to its base and removing the top
portion
• Truncated Solids: The truncated solids are
obtained by cutting the solid by a plane to its
base and removing the top portion
Axis perpendicular toHP pentagonal pyramid
40mmbase 70mm axis base parallel to HP and perpendicular to VP
20.
Axis perpendicular toVP
Cylinder 50mm Dim. Axis 75 mm long its axis perpendicular to the vp
21.
Axis parallel toboth HP&VP Triangular prism base
50mm edge axis 80mm long having its axis parallel to HP&VP Base edge perpendicular to VP
22.
Axis parallel toVP and inclined to HP
a cone base 60mmdim,axis 90 mmlong,with the asxix
making an angle of 30 with HP & parallel to VP
23.
Axis parallel toHP & Inclined to VP, Draw projections of
hexagonal prism, base 30mm,axis 75 mm, when axis inclined at 30 degree to VP,
parallel to HP.
24.
Axis inclined toHP and VP,
A pentagonal pyramid ,base=25mm side,axis 60mm long has edge of the
base parallel to HP &inclined to 45 degree to VP,Its axis makes an angle of 60
degree with HP,Draw its projections