Then: ab=2S 1, ac=2S2, bc=2S3.

Note: A triangular pyramid with three vertical sides can be regarded as an angle of a cuboid.

The length, width and height of a cuboid are three sides of a triangular pyramid, namely A, B and C;

So it is easy to get that the volume of the triangular pyramid is abc/6.

ab*ac*bc=8S 1*S2*S3

Therefore, abc=2√(2S 1S2S3)

Therefore, the volume of the triangular pyramid is abc/6=[√(2S 1S2S3)]/3.

Have fun! I hope I can help you. If you don't understand, please ask. I wish you progress in your study! O(∩_∩)O