It is possible to construct a cube of twice the volume of a given cube using only a straightedge and compass.
2 answers:
No, it is not.
That specific question is named the Delian Problem, where supposedly, Apollo, the Greek god, had asked for his altar to be doubled in size to stop a plague going around. The builders only had a compass and straightedge, but they couldn't figure out how to double the volume. The reason they couldn't was because there was no way to construct multiples of , which was what was needed to double the volume.
This problem is one called the impossible problems from antiquity, or problems the ancient Greeks could not solve with only a compass and a straightedge. Another example of one of these problems is how to trisect an angle.
You might be interested in