Wednesday, February 10, 2016

Demonstration: Volume of a Pyramid and a Prism

In this video you will see how the volume of a pyramid is 1/3 the volume of a prism that has an equal shaped base and height.

For example, the formula for the volume of a triangular prism is 1/2 base area * height.

The formula for the volume of a triangular pyramid equals 1/3 ( 1/2 base area * height)

Therefore, the ratio of the volume of the pyramid is 3:1 compared to the volume of the prism.

In this demonstration I filled up three pyramids with water and poured them into an equally sized triangular prism.After pouring, the water was at the very top of the prism.

The demonstration shows you visually what the formulas show you Mathematically.

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