A gemstone is cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. the height of the pyramid is 4 millimeters. what is the volume of the gemstone.

The volume of this pyramid is 56 millimeters³

Step-by-step explanation:

The volume for a triangular pyramid is given by the following formula:

volume = (1/3) * (base area) * h

In order to solve this problem we must take the given data for the pyramid and apply it to the formula above. We have:

volume = (1/3) * 42*4

volume = 14*4

volume = 56 millimeters³

The volume of this pyramid is 56 millimeters³