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

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn