Doubling the cube

Doubling the cube is one of the three most famous geometric problems unsolvable by straightedge and compass alone. It was known to the Greeks, and earlier to the mathematicians of India.

Related Topics:
Geometric - Straightedge and compass

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

To "double the cube" means to be given a cube of some side length s and volume V, and to construct a new cube, larger than the first, with volume 2V and therefore side length ³√2s. The problem is known to be impossible to solve with only compass and straightedge, because ³√2 is not a constructible number.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~