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Volume Prisms
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Prism Formula Even though there are three different types of prisms, there is only one formula: V = Bh h = height (the distance between bases) 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.
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Types of Prisms Prisms have two bases and are defined by what shape their bases are. If the bases are rectangular, then it is a rectangular prism. If the bases are circular, then it is a cylinder. If the bases are triangular, then it is a triangular prism.
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Rectangular Prism V = Bh B = bh B = bh B = 9(5) B = 45 in2 V = Bh
V = 135 in2
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Triangular Prism V = Bh B = 1 2 bh B = 1 2 bh B = 1 2 (4)(6)
B = 12 cm2 V = Bh V = 12(12) V = 144 cm2
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Cylinder V = Bh B = πr2 B = πr2 B = 3.14(82) B = 3.14(64)
B = units2 V = Bh V = (21) V = 4, units3
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Practice Solve the volumes of the figures below
V = Bh V = 3.14(52)(12) V = 942 cm3 V = Bh V = 10(4)(10) V = 400 m3 V = Bh V = 3.14(42)(15) V = cm3 V = Bh V = 1 2 (4)(6)(8) V = 96 cm3 V = Bh V = 1 2 (3)(4)(7) V = 42 ft3
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