The pyraminx is a rubik’s cube-toy in the shape of a tetrahedron. the pyraminx shown below has edges of 15cm long and a vertical height h=12.2 cm. the triangle drawn with dashed lines is a right triangle. what is distance r?

The distance r is

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

where

c is the hypotenuse

a,b are the legs

In this problem we have

substitute and solve for r

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734