regular tetrahedron

 
 

Volume of regular tetrahedron of given length of edges

Problem
Determine the volume of a regular tetrahedron of edge 2 ft.

A.   1.54 ft3 C.   1.34 ft3
B.   1.01 ft3 D.   0.943 ft3

 

016 Radius of the sphere circumscribing a regular triangular pyramid

Example 016
Find the area of the surface and the volume of the sphere circumscribed about a regular tetrahedron of edge 25 cm. See Figure 015.
 

Sphere circumscribed about a regular tetrahedron

 

014 Water poured into a jar of marbles

Example 014
A boy who had discovered that 20 mm marbles fitted snugly into the bottom of a cylindrical jar, dropped in a fourth on top of the three and poured water enough into the jar to just cover them. How much water did he use?
 

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