Quandaries and Queries
How do I calculate the volume of an irregular shaped tetrahedron
Thank you in anticipation
The volume follows from a result that says if you take some region R in the plane with an area, some point P not in the plane and form a cone by joining every point on the boundary of R to P with a straight line then the volume of the cone is
By your description you have a tetrahedron with a base triangle having sides of lengths a, b and c and a vertex P which is 0.75 m above the plane containing the base triangle.
The volume of the tetrahedron is then
The area of the base triangle can be found using Heron's Formula.