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does anyone have any good material on geometry esp on surface area of 3d objects, volumes, inscribed objects etc.. maybe we can make this a sticky??
I will get started here with some useful formulas to remember
Surface Area
Surface area of a cube=6*a^2 (where a is the side) surface area of a rectangular box=2ab+2bC+2ac Surface area of sphere=4*pi*r^2 Surface area of cylinder= 2pi*r^2 + 2pi*r*h
OK, I do remember seeing a question on my exam asking for the comparison of surface area of cone to a cylinder...I have no memory what the surface area of cone is?
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If r is the radius of the base and h is the height of the cone then \(sqrt{r^2 + h^2}\) will be the slanted height of the cone. Now, the side area of cone is actually the area of a circle with the radius as the slanted height of the cone. Hence, we can find this area and add to the area of the base.
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