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Volume of Cylinders and Prisms

In this topic, we will learn about the volume of cylinders and prisms. We will also learn to find the volume of composite figures and application problems based on them.

Topic: Volume of Prisms

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

  • Volume of a triangular prism = Area of the base of the triangle x Height = (1/2 x b x h) x Height

  • Volume of rectangular prism = Area of the rectangular base x Height = (Length x Width) x Height

  • On doubling the length, width or height of a prism, the volume will double

Topic: Volume of Cylinders

  • Volume of a cylinder = Area of the circular base x Height
    Volume = ∏r2h

  • The number of times the volume of the larger cylinder is greater than the volume of the smaller cylinder is the ratio of the volume of the two cylinders

  • On doubling the radius and the height of the cylinder, the volume of the cylinder becomes 8 times the original volume

  • On doubling the radius of the base, the volume becomes 4 times the original volume

  • On doubling the height of the cylinder, the volume becomes twice the original volume

Topic: Volume of Composite Figures

  • A composite figure is a figure that is made of more than one geometrical solid

  • Volume of the rectangular prism = Length x Width x Height

  • Volume of the triangular prism = (1/2 x base x height (triangle)) x (Height of the prism)
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