Some crystals have rhombohedral structures. A rhombohe- dron is a parallelepiped in which all of the edge lengths are equal and each of the six faces is a congruent rhombus. Find the volumes of the rhombohedral crystals described in Exer- cises 58 A rhombohedral crystal 58. Each side length is 1 cm, and the acute angles in each face measure 60°. (Hint: Let vector i form one of the edges of the rhombohedron, and let a second nonparallel edge be in the xy-plane.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...
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Some crystals have rhombohedral structures. A rhombohe-
dron is a parallelepiped in which all of the edge lengths are
equal and each of the six faces is a congruent rhombus. Find
the volumes of the rhombohedral crystals described in Exer-
cises 58
A rhombohedral crystal
58. Each side length is 1 cm, and the acute angles in each
face measure 60°. (Hint: Let vector i form one of the edges of
the rhombohedron, and let a second nonparallel edge be in the
xy-plane.)
Transcribed Image Text:Some crystals have rhombohedral structures. A rhombohe- dron is a parallelepiped in which all of the edge lengths are equal and each of the six faces is a congruent rhombus. Find the volumes of the rhombohedral crystals described in Exer- cises 58 A rhombohedral crystal 58. Each side length is 1 cm, and the acute angles in each face measure 60°. (Hint: Let vector i form one of the edges of the rhombohedron, and let a second nonparallel edge be in the xy-plane.)
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