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Earn +20 ptsQ: Is doubling a cube a possible construction?
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Is doubling a cube possible?
Yes, it is possible.
What construction was never accomplished by the Greeks?
Doubling a cube Trisecting any angle
Is doubling a cube possible with a straightedge and compass?
Doubling a cube, also known as the problem of the Delian cube, is not possible using only a straightedge and compass. This task involves constructing a cube with a volume twice that of a given cube, which requires finding the length of the edge of the new cube to be the cube root of 2. However, this length cannot be constructed using those tools, as it is not a constructible number. This was proven in the 19th century through the field of algebraic geometry.
Is it possible to double a cube using a straight edge and compass?
No. This is known to be impossible. For more information, including a proof, check the Wikipedia article on "doubling the cube".
What is the highest number on the backgammon doubling cube?
64
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