Plato (429 - 384 B.C) was one of the first to discover a solution to that famous problem of antiquity, the duplication of a cube. the finding of the edge of a cube whose volume is double that of a given cube. One legend asserts that the Athenians, who were suffering from a plague of typhoid fever, consulted the oracle at Delos as to how to stop the the plague. Apollo replied that the Delians would have to double the size of his altar which was in the form of a cube. A new altar was constructed having its edges twice as long as the old one. The pestilence become worse than before, whereupon the Delians appealed to Plato. Given that the side of the altar was 9 ft. find accurate to five decimal places the edge of the required altar.

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.
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Plato (429 - 384 B.C) was one of the first to discover a solution to that famous problem of
antiquity, the duplication of a cube. the finding of the edge of a cube whose volume is double
that of a given cube.
One legend asserts that the Athenians, who were suffering from a plague of typhoid fever,
consulted the oracle at Delos as to how to stop the the plague. Apollo replied that the Delians
would have to double the size of his altar which was in the form of a cube.
A new altar was constructed having its edges twice as long as the old one. The pestilence
become worse than before, whereupon the Delians appealed to Plato.
Given that the side of the altar was 9 ft. find accurate to five decimal places the edge of the
required altar.
Transcribed Image Text:Plato (429 - 384 B.C) was one of the first to discover a solution to that famous problem of antiquity, the duplication of a cube. the finding of the edge of a cube whose volume is double that of a given cube. One legend asserts that the Athenians, who were suffering from a plague of typhoid fever, consulted the oracle at Delos as to how to stop the the plague. Apollo replied that the Delians would have to double the size of his altar which was in the form of a cube. A new altar was constructed having its edges twice as long as the old one. The pestilence become worse than before, whereupon the Delians appealed to Plato. Given that the side of the altar was 9 ft. find accurate to five decimal places the edge of the required altar.
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