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Volumes of Prisms and Cylinders

This topic covers the volumes of Prisms and Cylinders.

Topic: Volume of Cylinder

  • Volume is the number of cubic units needed to fill a space

  • Volume can be found by counting the number or cubes in a figure

  • Volume of a cylinder = Area of the base x Height

  • Volume of a cylinder = πr2 x height, where π = 22/7 and r = radius of the base

Topic: Volumes of Composite Figures

  • Volumes of composite figures can be found by dividing them into simpler figures

  • Volume of the composite figure = Sum of volumes of the contributing figures

  • Volume of a rectangular prism = length x width x height

  • Volume of a triangular prism = Base area x height = ½ x base x height of triangular base x height of prism

Topic: Word Problems

  • Volume of a rectangular prism = length x width x height

  • Volume of a triangular prism = Base area x height = ½ x base x height of triangular base x height of prism

  • Volume of a cylinder = Area of the base x Height = πr2 x height, where π = 22/7 and r = radius of the base

Topic: Volume of a Rectangular Prism

  • Volume is the number of cubic units needed to fill a space

  • Volume can be found by counting the number or cubes in a figure

  • Volume of a prism = Area of the base x Height

  • Volume of a rectangular prism = Length x Width x height

Topic: Volume of a Triangular Prism

  • Volume is the number of cubic units needed to fill a space

  • Volume of a prism = Area of the base x Height

  • Area of a triangle = 1/2 x Base x Height
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