Geodesic
Parallelepipeds circumscribed about a~convex body in 3-space
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 79-87

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that each convex body $K\subset\mathbb R^3$ of volume $V(K)$ is contained in a parallelepiped of volume $3\sqrt2\,V(K)$. 
@article{ZNSL_2005_329_a6,
     author = {V. V. Makeev},
     title = {Parallelepipeds circumscribed about a~convex body in 3-space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {79--87},
     publisher = {mathdoc},
     volume = {329},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/}
}
TY  - JOUR
AU  - V. V. Makeev
TI  - Parallelepipeds circumscribed about a~convex body in 3-space
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 79
EP  - 87
VL  - 329
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/
LA  - ru
ID  - ZNSL_2005_329_a6
ER  - 
%0 Journal Article
%A V. V. Makeev
%T Parallelepipeds circumscribed about a~convex body in 3-space
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 79-87
%V 329
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/
%G ru
%F ZNSL_2005_329_a6
V. V. Makeev. Parallelepipeds circumscribed about a~convex body in 3-space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 79-87. http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/