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Question: Proving the volume of a pyramid
#1
Question: Proving the volume of a pyramid
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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#2
RE: Question: Proving the volume of a pyramid
(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
‘I can’t be having with this.’ - Esmeralda Weatherwax
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#3
RE: Question: Proving the volume of a pyramid
(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.

V =a^2 x h/3

Boru

That's the formula, but wondering about how to prove it.
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#4
RE: Question: Proving the volume of a pyramid
I think you mean "derive" rather than "prove".

how to calculate the volume of a pyramid
If you get to thinking you’re a person of some influence, try ordering somebody else’s dog around.
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#5
RE: Question: Proving the volume of a pyramid
(March 3, 2022 at 2:35 pm)Fireball Wrote: I think you mean "derive" rather than "prove".

how to calculate the volume of a pyramid

Ok, thanks, I'll see how I go with this.
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#6
RE: Question: Proving the volume of a pyramid
(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.

V =a^2 x h/3

Boru

Wrong at the beginning.

Pyramids are point upwards!

^

Playing Cluedo with my mum while I was at Uni:

"You did WHAT?  With WHO?  WHERE???"
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#7
RE: Question: Proving the volume of a pyramid
(March 3, 2022 at 2:30 pm)GrandizerII Wrote:
(March 3, 2022 at 2:29 pm)BrianSoddingBoru4 Wrote: V =a^2 x h/3

Boru

That's the formula, but wondering about how to prove it.

You need a pyramid and a tape measure.

Playing Cluedo with my mum while I was at Uni:

"You did WHAT?  With WHO?  WHERE???"
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#8
RE: Question: Proving the volume of a pyramid
(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.

You need a pyramid and a tape measure.





And as Dr Ben Carlson will tell you,  a lot of grain to fill the pyramid with so as to know its volume.

ROFLOL
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#9
RE: Question: Proving the volume of a pyramid
(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.





And as Dr Ben Carlson will tell you,  a lot of grain to fill the pyramid with so as to know its volume.

ROFLOL

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???"
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#10
RE: Question: Proving the volume of a pyramid
(March 3, 2022 at 2:35 pm)Fireball Wrote: I think you mean "derive" rather than "prove".

how to calculate the volume of a pyramid

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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