# Crazy coordinates

Geometry Level pending

A polyhedron has the following vertices, for some real number, $$a$$:

• $$(e,\pi,a)$$
• $$(\pi,e,a)$$
• $$(-\pi e,8,a)$$
• $$(e^2+\pi,-\pi,a)$$
• $$(-\pi,-\pi^3,a)$$
• $$(\pi, e, a+\pi)$$

And it has a volume of $$20$$.

What would be its volume if the last vertex were changed to this?

• $$(6\pi, \pi + 3e, a+8\pi)$$

If you think that it can't be determined, put -1 as your answer.

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