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Formulas for calculating the surface area and volume of various geometric shapes, including a cube, rectangular prism, cylinder, pentahedron, cone, sphere, and circular torus, as covered in dr. Barzilov's phys 250 class.
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Dr. Barzilov’s MWF section Phys 250 / Geometry / Formulas Surface Area 2 Scube = 6 a S (^) prism = 2 ab + 2 bc+ 2 ac
2 = +
2 2 S (^) pyr −sq =a a+ a + 4 h
2 2 Scone =πr r+ r +h 2 Ssphere = 4 π r
2 = 4 π Body Cube Rectangular Prism Cylinder Pentahedron Cone Sphere Circular Torus Volume 3 Vcube = a Vprism = abc Vcyl r h 2 = π V (^) pyr sq a h 2 3 1 −^ = Vcone r h 2 3 1 = π 3 3 4 Vsphere = πr 2 2
a a a c b a r h a h a h r r r R