alleryDoubling the volume of a cube fails with ruler and compass because it needs what?
ASquare roots of lengths
BCube roots of lengths
CMidpoints of segments
DBisectors of angles
Answer & Solution
Correct answer: B. Cube roots of lengths
1. Wantzel's proof rests on the impossibility of constructing cube roots of lengths.
2. Doubling a cube's volume needs the side multiplied by the cube root of 2.
3. Square roots, midpoints and bisectors are all constructible, so they are not the obstacle.
_Source: Wikipedia, Straightedge and compass construction, section History_
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