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Example Questions
Example Question #1 : How To Find The Volume Of A Tetrahedron
Note: Figure NOT drawn to scale.
The above triangular pyramid has volume 25. To the nearest tenth, evaluate .
Insufficient information is given to answer the problem.
We are looking for the height of the pyramid.
The base is an equilateral triangle with sidelength 4, so its area can be calculated as follows:
The height of a pyramid can be calculated using the fomula
We set and and solve for :
Example Question #2 : How To Find The Volume Of A Tetrahedron
Note: Figure NOT drawn to scale.
Give the volume (nearest tenth) of the above triangular pyramid.
The height of the pyramid is . The base is an equilateral triangle with sidelength 4, so its area can be calculated as follows:
The volume of a pyramid can be calculated using the fomula
Example Question #252 : Geometry
A regular tetrahedron has an edge length of . What is its volume?
The volume of a tetrahedron is found with the equation , where represents the length of an edge of the tetrahedron.
Plug in 4 for the edge length and reduce as much as possible to find the answer:
The volume of the tetrahedron is .
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