xyz block

Geometry Level 4

A 4×4×44\times 4\times 4 grid has just enough material removed such that the front side projects an X,\text{X}, the right side a Y,\text{Y}, and the top side a Z.\text{Z}. The orthogonal views of these letters are shown below.

An isometric view of the final shape is shown below.

What is the volume of this figure?

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