Is there a way to prove this algebraically without the use of calculus? And without resorting to 3d visual demos, which have caused me more confusion than clarity.
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Question: Proving the volume of a pyramid
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 (March 3, 2022 at 2:14 pm)GrandizerII Wrote: Is there a way to prove this algebraically without the use of calculus? And without resorting to 3d visual demos, which have caused me more confusion than clarity. V =a^2 x h/3 Boru
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 (March 3, 2022 at 2:29 pm)BrianSoddingBoru4 Wrote:(March 3, 2022 at 2:14 pm)GrandizerII Wrote: Is there a way to prove this algebraically without the use of calculus? And without resorting to 3d visual demos, which have caused me more confusion than clarity. That's the formula, but wondering about how to prove it. 
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(March 3, 2022 at 2:35 pm)Fireball Wrote: I think you mean "derive" rather than "prove". Ok, thanks, I'll see how I go with this.  (March 3, 2022 at 2:29 pm)BrianSoddingBoru4 Wrote:(March 3, 2022 at 2:14 pm)GrandizerII Wrote: Is there a way to prove this algebraically without the use of calculus? And without resorting to 3d visual demos, which have caused me more confusion than clarity. Wrong at the beginning. Pyramids are point upwards! ^ Playing Cluedo with my mum while I was at Uni: "You did WHAT? With WHO? WHERE???" (March 3, 2022 at 2:30 pm)GrandizerII Wrote:(March 3, 2022 at 2:29 pm)BrianSoddingBoru4 Wrote: V =a^2 x h/3 You need a pyramid and a tape measure. Playing Cluedo with my mum while I was at Uni: "You did WHAT? With WHO? WHERE???"  RE: Question: Proving the volume of a pyramid
March 3, 2022 at 3:35 pm
(This post was last modified: March 3, 2022 at 3:40 pm by Anomalocaris.)
(March 3, 2022 at 3:21 pm)The Valkyrie Wrote:(March 3, 2022 at 2:30 pm)GrandizerII Wrote: That's the formula, but wondering about how to prove it. And as Dr Ben Carlson will tell you, a lot of grain to fill the pyramid with so as to know its volume. 
(March 3, 2022 at 3:35 pm)Anomalocaris Wrote:(March 3, 2022 at 3:21 pm)The Valkyrie Wrote: You need a pyramid and a tape measure. Grain doesn't work. It has to be chickpeas and lentils. Playing Cluedo with my mum while I was at Uni: "You did WHAT? With WHO? WHERE???"  (March 3, 2022 at 2:35 pm)Fireball Wrote: I think you mean "derive" rather than "prove". I think he meant a geometric proof. Like, with the pythagorean theorem. There are "proofs" that show that the pythagorean theorem is indeed correct. -shrug- Poly might know. |
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