# Volume of rectangular based pyramids

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

Area of base of a rectangular based pyramid = `Len\g\th\times\width`

Volume of a rectangular based pyramid = `1/3times\area\ of\ base\ timesheight`

Volume of a rectangular based pyramid = `1/3times\l\e\n\g\th\times\width\timesheight`

3 rectangular based pyramids fill 1 rectangular cuboid (with the same size base and height).

**NOTE:**

Areas shaded blue are all equal.

# Rectangular based pyramids

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

Area of base of a rectangular based pyramid = `Len\g\th\times\width`

Volume of a rectangular based pyramid = `1/3times\area\ of\ base\ timesheight`

Volume of a rectangular based pyramid = `1/3times\l\e\n\g\th\times\width\timesheight`

3 rectangular based pyramids fill 1 rectangular cuboid (with the same size base and height).

**NOTE:**

Areas shaded blue are all equal.

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 fill 1 prism (with the same size base and height 1)

**NOTE:**

Areas shaded blue are all equal.