# The Growing Tetrahedron

Calculus Level pending

The vectors $$<3, 2, -1>, <1, 0, 2>,$$ and $$<t^2, -t^2, 2t^2>$$ define a tetrahedron, where $$t$$ is the time elapsed in seconds. In cubic units per second, at what rate does the volume of this tetrahedron changing when $$t = 3$$?

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