A right pyramid and a right rectangular prism both have square bases. The base of the pyramid has sides that are 20% longer than those of the bases of the prism; the height of the pyramid is 20% greater than that of the prism.

Which of the following is closest to being correct?

The base of a right pyramid with height 6 is a regular hexagon with sides of length 6.

Give its volume.

A pyramid with a square base is inscribed inside a right cone with radius 24 and height 10.

Give the volume of the pyramid.

A triangular pyramid in coordinate space has its vertices at the origin, , , and . In terms of , give its volume.

What is the area of the base of the pyramid with volume and height ?