Anyone know how to calculate the volume of this figure?

Step-by-step explanation:

we know that

The given figure is a triangular pyramid

The volume of the triangular pyramid is equal to

where

B is the area of the triangular base

h is the height of the pyramid

Find the area of the base

The base is an equilateral triangle

Applying the law of sines to determine the area

Remember that

substitute

Find the volume

we have

substitute

there are no multiple choices

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36