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Hollow Tetrahedron Conundrum (Posted on 2024-06-10)

A regular tetrahedron with an edge of 30cm rests on one of its faces. Assuming it is hollow, 2 liters of water are poured into it. Find the height and the area of the free surface of water.

No Solution Yet Submitted by Danish Ahmed Khan

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more exact answer--less programming

Comment 2 of 2 |

(In reply to computer-aided solution by Charlie)

With V, b and H already present from the setup portion of the program:

s=vpasolve(a==((H - h) / H)^2 * b, h==3*V/(a+sqrt(a*b)+b))

s =

struct with fields:

a: 201.38093198126015798301970332435

h: 6.886767844101559610137735343464

Posted by Charlie on 2024-06-10 10:53:02

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