ACT Math : How to find the volume of a tetrahedron

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #81 : Solid 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 #82 : Solid Geometry

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 #87 : 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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