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Volume

Volume of pyramids

The volume of a pyramid is given by:

 Volume = $\frac{1}{3}$Area of base x Height V=$\frac{1}{3}$AH where A is the area of the base of the pyramid and H is the height.

The rule for finding the volume of a pyramid is the same no matter what polygon forms the base. Of course, how you find the area of the base will depend on the polygon that forms the base.

Find the volume of the square pyramid:

 V=$\frac{1}{3}$BH Find the area of the base. B = 52 = 25 mm2 Find the height of the rectangular pyramid. height = 3 Therefore: V = $\frac{1}{3}$·25·3 = 25 mm3

What is the volume of this rectangular pyramid when a=5, b=8, and h=6?