# Volume of Smallest Tetrahedron with Integer Edges and Integer Volume

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## Theorem

The volume of the smallest tetrahedron with integer edges and integer volume is $3$.

There are $2$ possible sets of edges:

- $32, 33, 35, 40, 70, 76$
- $21, 32, 47, 56, 58, 76$

## Proof

## Sources

- Apr. 1992: Kevin L. Dove and John S. Sumner:
*Tetrahedra with Integer Edges and Integer Volume*(*Math. Mag.***Vol. 65**,*no. 2*: pp. 104 – 111) www.jstor.org/stable/2690489

- 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $3$