Mathematical analysis of truncated hexahedron (cube)

Congruent 
polygonal faces 
No. of 
faces 
Normal distance of each face from the 
centre of the given truncated hexahedron 
Solid angle subtended by each face at the 
centre of the given truncated hexahedron 
Equilateral 
triangle 
8 
+
(
√
+
)
Regular octagon 
6 
+
(
√ +
)
Inner 
(inscribed) 
radius 
 
+
Outer (circumscribed) 
radius 
 
√ +
Mean radius 
 
(
+ )
Surface area 
 
+
Volume 
 
+

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Mathematical analysis of truncated hexahedron (cube)
Application of HCR’s formula for regular polyhedrons (all five platonic solids) 
Applications of “HCR’s Theory of Polygon” proposed by Mr H.C. Rajpoot (year-2014) 
©All rights reserved 
Note: 
Above articles had been developed
 & illustrated by Mr H.C. Rajpoot (B Tech, Mechanical Engineering) 
M.M.M. University of Technology, Gorakhpur-273010 (UP) India Dec, 2014 
Email: 
[e-mail]
 
Author’s Home Page: 
https://notionpress.com/author/HarishChandraRajpoot 
Courtesy: 
Advanced Geometry by Harish Chandra Rajpoot