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Example Question #82 : Advanced Geometry
Find the volume of a regular tetrahedron if one of its edges is long.
Possible Answers:
Correct answer:
Explanation:
Write the volume equation for a tetrahedron.
In this formula, stands for the tetrahedron's volume and
stands for the length of one of its edges.
Substitute the given edge length and solve.
Rationalize the denominator.
Example Question #13 : How To Find The Volume Of A Tetrahedron
Find the volume of a tetrahedron if the side length is .
Possible Answers:
Correct answer:
Explanation:
Write the equation to find the volume of a tetrahedron.
Substitute the side length and solve for the volume.
Rationalize the denominator.
Example Question #83 : Advanced Geometry
What is the volume of a regular tetrahedron with an edge length of 6?
Possible Answers:
Correct answer:
Explanation:
The volume of a tetrahedron can be solved for by using the equation:
where is the measurement of the edge of the tetrahedron.
This problem can be quickly solved by substituting 6 in for .
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