It is possible to construct a cube of twice the volume of a given cube using only a straightedge and compass.

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.

here's a poem i finished a while ago. i hope you like it and that it inspires you.

i'm a sophomore in connections, i'd recommend checking on jishka.com they have a large range of questions and answers from our school.