Question

What is the volume of this triangular pyramid?



6 mm
6 mm
7 mm

cubic millimeters

Answer 1

I’m missing the diagram — could you confirm which edges those numbers label (base sides, the three edges from the apex, the height, etc.)?

If the 6, 6 are the legs of a right-triangle base and 7 is the pyramid’s height:
- base area = (1/2)(6)(6) = 18 mm^2
- volume = (1/3)(base area)(height) = (1/3)(18)(7) = 42 mm^3

If the 6, 6, 7 are the three edges meeting at one vertex and they are pairwise perpendicular, volume = (1/6)(6)(6)(7) = 42 mm^3.

If your diagram is different, upload or describe it and I’ll compute the correct volume.