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Earn +20 ptsQ: Can you double cube using a straightedge and compass?
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Constructing a cube with double the volume of another cube using only a straightedge and compass was proven possible by advanced algebra.?
No, it is not. In 1837, the French mathematician, Pierre Laurent Wantzel, proved that it was impossible to do so using only compass and straightedge.
Is it possible to construct a cube of twice the volume of a giving cube only using a straightedge and compass?
No, it is not and in 1837 Pierre Wantzel proved this to be the case.
What Greek constructions were never accomplished with only a straightedge and a compass?
Doubling a cube and trisecting any angle
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".
If you double the length of the sides of a cube how does the side area of the cube increase?
It quadruples in area.
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