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Question: Proving the volume of a pyramid

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Question: Proving the volume of a pyramid
GrandizerII Offline
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#1
Question: Proving the volume of a pyramid
March 3, 2022 at 2:14 pm
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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BrianSoddingBoru4 Offline
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#2
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 2:29 pm
(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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GrandizerII Offline
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#3
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 2:30 pm
(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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Fireball Offline
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#4
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 2:35 pm
I think you mean "derive" rather than "prove".

how to calculate the volume of a pyramid
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GrandizerII Offline
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#5
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 2:41 pm
(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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The Valkyrie Offline
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#6
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 3:20 pm
(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!

^
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The Valkyrie Offline
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#7
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 3:21 pm
(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.
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Anomalocaris Offline
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#8
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.

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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The Valkyrie Offline
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#9
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 4:57 pm
(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.
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vulcanlogician Offline
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#10
RE: Question: Proving the volume of a pyramid
March 3, 2022 at 7:51 pm
(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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Atheist Forums › Science › Mathematics v
Question: Proving the volume of a pyramid

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