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# Volume of solids

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## Joana Page

on 15 June 2011

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#### Transcript of Volume of solids

Volume of Solids The volume of a solid is the number of cubic units contained in its interior. Volume is measured in cubic units, such as cubic centimeters (cm³) If two polyhedra are congruent, then they have the same volume Volume Congrence Postulate Volume Addition Postulate The volume of a solid is the sum of the volume of all its nonoverlapping parts If two solid have the same height and the same cross-sectional area at every level, then they have the same volume Cavalieris Principle SWBAT: Find the volume of prisms, cylinders, cones, pyramids and spheres(besides learning vocebulary and useless teorems) Volume of a prism The volume V of a prism is where B is the area of the base and h is the height V=Bh Volume of a Cube The volume of a cube is the cube of the leght of its side Volume of a Cylinder The volume V of a cylinder is

where B is the area of the base, h is the heigth and r is the radious of the base V = Bh = r²h The volume V of a pyramid is

where B is the area of the base and h is the heigth Volume of a Pyramid V = 1/3Bh V = 1/3Bh = 1/3 r²h The volume V of a cone is

where B is the area of the base, h is the heigth and r is the radious of the base Volume of a Cone The volume V of a sphere is

where r is the radious of the sphere V = 4/3 r³ Volume of a Sphere V = s³ Pouring cement into a rectangular box for big slabs. Cooking - measuring cups. Figuring out how much liquids to mix into something. Real life uses Still lost??? Don´t worry... It's not that hard... Let's start by the basics This will help you understand Find the volume of the given L-shaped rectangular structure. V = 60 * 80 * 10 mm3 - 40 * 60 * 10 mm3 = 24000 mm3 A
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R Find the Volume Find the Volume Find the Volume Find the Volume 2.5³*3.14*4/3 = 65.41 3.6*3.6*7.3 = 3.608 2.7*2.4*2.1 = 17.496 9.1*4.3²*3.14 =528.33
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