Corners are sliced off a unit cube so that the six faces each become regular octagons. What is the total volume of the removed tetrahedra? (A) š2=1 /2–7 (B) 10–7/2 (C) 4 (D) š-1 (E) º{v2
Corners are sliced off a unit cube so that the six faces each become regular octagons. What is the total volume of the removed tetrahedra? (A) š2=1 /2–7 (B) 10–7/2 (C) 4 (D) š-1 (E) º{v2
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:20 Corners are sliced off a unit cube so that the six faces each become regular octagons. What
is the total volume of the removed tetrahedra?
(A) V-I
V2–7
3
(B) 10-7V2
3–2/2
3
(D) šv2-11
6–4/2
3
3
3.
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