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Surface Area, Lateral Area, and Volume Formulas

SurfaceAreaLateralAreaVolumeFormulas area , Lateral area , and Volume FormulasIn the table shown Bis the area of the base, Pis the perimeter of the base, his the height of the object, lis the slant height of the object, ris the radius of the base if the base is a circle, Cis the circumference of the base if it is a circle, Sis the Surface area of the object, Lis the Lateral area of the object, and Vis the Volume of the AreaSurface AreaVolumeRight PrismL=PhS=2B+LorS=2B+PhV=BhRight CylinderL=Chor L=2 rhS=2B+LorS=2B+Chor S=2 r2+2 rhV=Bhor V= r2hRegular PyramidL=12 PlS=B+LorS=B+12 PlV=13 BhRight ConeL=12 ClOrL= rlS=B+LorS=B+ rlorS= r2+ rlV=13 Bhor V=13 r2hSphereS=4 r2V=43 r3 Right PrismLateral area of a right prism:L=Phwhere L is the Lateral area and Ph is the product of the perimeter of one of the bases and the height of the prism.

Surface area of a right cylinder: S=2B+L or S=2B+Ch or S=2πr2+2πrh where S is the total surface area, 2B is twice the area of one of the bases (the area of the circle 2πr 2 that is the base in the case of a cylinder) and L or Ch is the lateral area.

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