### All ACT Math Resources

## 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 .

Dana

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