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> What's the formula to calculate the volume of a conical pyramid, off the top of your head? I don't need to know the formula off the top of my head; I need to
by gwd 7y ago
> What's the formula to calculate the volume of a conical pyramid, off the top of your head?
I don't need to know the formula off the top of my head; I need to know what a conical pyramid is, what volume is, what a formula is, and how to use it. I guarantee that between me and someone who's never done geometry at all, I can find the volume of a conical pyramid faster and more reliably.
You're right that memorizing specific formulas isn't useful; but using a large number of formulas over and over to gain mastery over the general idea certainly is.
- saagarjha 7y agoDeriving the formula for the volume of a pyramid manually is nontrivial, usually requiring either calculus or careful application of Cavalieri's principle. I know how to get it but it's not practical to do on the spot, so I treat it as an idiom.