1. Volume
Pyramids

2. Pyramid Formula
Even though there are different types of pyramids, there is only one formula: V = 1 3 Bh
h = height (the distance from the center of the base to the tip of the pyramid)
B = area of the base
**B does not represent base, but the area of the base; therefore, you must figure out the area of the base using area formulas.

3. Types of Pyramids
Pyramids have one base that defines it shape. The base of the pyramid defines its shape. If the base is circular, then it is a cone. If the base is rectangular, then it is a rectangular based pyramid. If the bases is triangular, then it is a triangular based pyramid.

4. Triangular Based Pyramid
V = 1 3 Bh
B = 1 2 bh
B = 1 2 bh
B = 1 2 (12)(10)
B = 60 cm2
V = 1 3 Bh
V = 1 3 (60)(17)
V = 340 cm3

5. Rectangular Based Pyramid
V = 1 3 Bh
B = bh
B = bh
B = (8)(7)
B = 56 cm2
V = 1 3 Bh
V = 1 3 (56)(11)
V = cm3

6. Cylinder V = 1 3 Bh B = πr2 B = πr2 B = 3.14(42) B = 3.14(16)
B = mm2
V = 1 3 Bh
V = 1 3 (50.24)(10)
V = mm3

7. Practice Solve the volumes of the figures below
V = Bh
V = (3.14)(52)(8)
V = units3
V = Bh
V = (8)(7)(12)
V = 224 cm3
V = 1 3 Bh
V = ( 1 2 )(8)(14)(17)
V = units3
V = Bh
V = 1 3 ( 1 2 )(6)(5)(10)
V = 50 m3
V = Bh
V = 1 3 (8)(7)(6)
V = 112 cm3