ISEE Upper Level Math : How to find the length of an edge of a tetrahedron
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Example Questions
Example Question #1 : How To Find The Length Of An Edge Of A Tetrahedron
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where 
Evaluate 
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and 
The height of the pyramid is 5, so
Set this equal to 100 to get 
Example Question #1 : How To Find The Length Of An Edge Of A Tetrahedron
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where 
Evaluate 
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure 
Since the height of the pyramid is also 
Set this equal to 1,000:
Example Question #3 : How To Find The Length Of An Edge Of A Tetrahedron
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where 
Evaluate 
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get 
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