Volume of triangular based pyramids

The volume of a triangular based pyramid works on the area of the base multiplied by height and some factor.

To measure a triangular based pyramid you need to multiply base and height then multiply another factor

Base area of triangular based pyramid = $1/2times\l\e\n\g\t\h\times\height\ 2$

Volume of a triangular based pyramid = $1/3times\base\ area\times\height\ 1$

Volume of a triangular based pyramid = $1/3times(1/2times\base\times\height\ 2)times\height\ 1$

3 triangular based pyramids make a prism if you add them together

3 triangular based pyramids fill 1 prism (with the same size base and height 1)

NOTE:

Areas shaded blue are all equal.