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Finding volume using equilateral triangles?

Posted 2 years ago
POSTED BY: Scott B
4 Replies
Posted 2 years ago

Ahhh I think I misworded that...basically I'm looking at the curves formed by the points of intersection where x > 0. They do intersect where x < 0.

Anyhow I think I did solve this issue...I simply did this by creating a line to find the area:

area = (Sqrt[3]/4) * sideLength^2;

and integrating that, while simplifying sideLength to be just the difference of the two functions.

Basically, writing another line of code to simplify things and making it so only "area" was integrated.

It seemed to work. I'm surprised though that there doesn't seem to be an easier command in Mathematica for anything like this--maybe I'm wrong?

POSTED BY: Scott B

5-4-2023
How is it bounded by x>0 if that is open?
It also is not an interval.
Could that be the problem?
Apologies if I'm off.

Posted 2 years ago

Yes, because I can't get an answer there I figured I"d try there too. I'm just really frustrated because no matter how much I research this I can't get an answer one way or another if Mathematica can actually do this!

POSTED BY: Scott B
Posted 2 years ago

Crossposted here.

POSTED BY: Rohit Namjoshi
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