Volume of Three-Dimensional Shapes

 
6.4  Volume of Three-Dimensional Shapes
 
  Definition  
     
 
  • It is the measure of the amount of space it occupies.
  • The shape is measured in cubic unit such as cubic  millimetre \((\text{mm}^3)\), cubic centimetre \((\text{cm}^3)\) or cubic metre \((\text{m}^3)\).
 
 
Shape Volume

Prism

\( V=A_\text{cross section} \times h\)

Cylinder

\(V= \pi r^2 h \)

Pyramid

\(V = \dfrac{1}{3} \times A_{\text{base}} \times h\)

Cone

\(V= \dfrac{1}{3} \times \pi r^2 h\)