## 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 #83 : Solid 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   ### All ACT Math Resources 