HexagonsShutterstock.jpgSolids enclose volume. The following solids are frequently seen and used.

The cross section of a solid is a "slice" of a solid through a given direction.

  • A prism is a solid with the same cross section for all of its length.

Solids
Nets
Views of Solids
Isometric Drawings

Solids

 

Cuboid or Rectangular prism

 

Y10_Three_Dimensional_Geometry_01.gif

Cube

 

Y10_Three_Dimensional_Geometry_02.gif

Triangular prism

 

Y10_Three_Dimensional_Geometry_03.gif

Rectangular pyramid

Y10_Three_Dimensional_Geometry_04.gif

Triangular pyramid

 

 

Y10_Three_Dimensional_Geometry_05.gif

Cone

Y10_Three_Dimensional_Geometry_06.gif

Cylinder

Y10_Three_Dimensional_Geometry_07.gif

Sphere

Y10_Three_Dimensional_Geometry_08.gif

 

 

 



 

Nets

A net is a pattern in two dimensions which, when cut out and folded, will make a solid figure.

 

 

Cuboid

 

 

Y10_Three_Dimensional_Geometry_09.gif

 

 

Net of a cuboid

 

Y10_Three_Dimensional_Geometry_10.gif 

 

Pyramid

 

Y10_Three_Dimensional_Geometry_11.gif

Net of a pyramid

Y10_Three_Dimensional_Geometry_12.gif

 

Views of Solids Solids can be viewed from top, front, back and sides. e.g.Y10_Three_Dimensional_Geometry_13.gif .

View from top .....View from front ..... View from back ......View from side

Y10_Three_Dimensional_Geometry_14.gif

 


 

Isometric drawings

Isometric graph paper, which is made up of triangles, instead of the usual squares, can be used to draw views of three dimensional objects.

e.g. An isometric drawing of the cuboid is shown below. Y10_Three_Dimensional_Geometry_15.gif

Y10_Three_Dimensional_Geometry_16.gif