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# Volume of Prisms

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### Volume of Prisms

1. 1. Volume of Prisms1. Volume – the number of cubic units needed to fill a given space.2. Cubic unit – space occupied by a cube of unit measure. Ex.1. V = Bh 8 in V =(b h) h 6 in V = 12(6)(8) 12 in V = 576 in³V = Area of base x height of the prism
2. 2. Volume of PrismsEx.2. b = 2.5 in h = 2.5 in 5 in h = 5 in V = Area of base x Height 2.5 in V = Bh 2.5 in V = bhh V = 2.5(2.5)(5) V = 31.25 in³
3. 3. Ex.3. Find the volume of the triangular prism V = Area of base x height 10 in V=Bh8 in 14 in h = 14 in 6 in bxh 6x88 in Area of base B = 2 = 2 6 in = 24 in² V=Bh = 24 (14) = 336 in³
4. 4. 10 in What is the relationship between the volume of a triangular prism and a8 in 14 in rectangular prism? 6 in So, we can use the same formula, but divide it by 2. V= bhh 2 (8)(6)(14) V= 2 V = 336 cubic inches