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You are not logged in. #2 20130528 22:02:28
Re: Pyramid volumeHi {7/3}; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20130529 00:16:53
Re: Pyramid volumeHe actually wants to ask about a general formula for a pyramid Last edited by Agnishom (20130529 00:19:15) 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #4 20130529 01:20:56
Re: Pyramid volumehi {7/3} where H is the height of the pyramid. Because the dark blue base region is mathematically similar to the light blue region the areas, small:large, will be in this proportion: Now for a little integral calculus: Imagine the solid divided into thin slices parallel to the base with thickness delta x. So let the slices become infinitesimally thin with thickness 'dx', and sum all slices from the top to the base Furthermore, the pyramid need not be 'right', ie. the axis at right angles to the base. If a right pyramid is sheared parallel to the base, so that it leans over, the slices still have the same area, so the volume formula continues to work, provided H is the perpendicular height. (picture in next post) Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #6 20130529 02:10:35
Re: Pyramid volumeThanks 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #8 20130529 03:06:30
Re: Pyramid volumehi Agnishom, The area scale factor in such a situation is the square of the length scale factor. http://www.mathsisfun.com/geometry/tria … orems.html section 3. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #9 20130529 03:14:16
Re: Pyramid volumehi {7/3} You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #10 20130529 03:45:58
Re: Pyramid volumeThanks 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda 