Table of all the important parameters of a truncated tetrahedron (having 4 congruent equilateral triangular & 4 congruent regular hexagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner radius, outer radius, mean radius, surface area & volume calculated by using HCR's formula for regular polyhedrons. It can be used in analysis, designing & modelling of polyhedrons.

1. HCR’s Formula for Regular n-Polyhedrons
Analysis of Truncated Tetrahedron: Let there be any truncated Tetrahedron having 4
congruent equilateral triangular & 4 congruent regular hexagonal faces each of edge length
a then all its important parameters are calculated as tabulated below
Congruent
polygonal
faces
No. of
faces
Normal distance of each face from
the centre of the given truncated
tetrahedron
Solid angle subtended by each face at the
centre of the given truncated tetrahedron
(in Ste-radian (sr))
Equilateral
triangle
4
√
( )
Regular
hexagon
4
√
(
√
)
Inner (inscribed) radius ( )
√
Outer (circumscribed) radius ( )
√
Mean radius ( ) (
√
)
Surface area ( ) √
Volume ( )
√
* When a solid truncated tetrahedron of the maximum volume is produced from a solid sphere
having certain diameter then approximate of total volume of the parent sphere is
removed as scraps in facing operations to generate 4 congruent equilateral triangular & 4 congruent
regular hexagonal faces each of equal edge length.
Estimated & illustrated by Mr Harish Chandra Rajpoot (B Tech, Mechanical Engineering)
M.M.M. University of Technology, Gorakhpur-273010 (UP) India Dec, 2014