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

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height of the pyramid is 4 millimeters. What is the volume of the gemstone? (Recall the formula V = 3 Bh)

56 cubic millimeters

84 cubic millimeters

168 cubic millimeters

336 cubic millimeters

56 cubic millimeters

Step-by-step explanation:

According to the question, a gemstone was cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. The height of that very pyramid is 4 millimeters. What is the volume of the gemstone?

Recall that the volume of a triangular pyramid is 1/3 * A * H

Where A is the has area

H is the height of the pyramid

And since we were provided with the base area, we can proceed to finding the volume if this very gemstone.

1/3 * 42 * 4

= 168/3

= 56 cubic millimeters.

The above is the volume of the gemstone