# xyz block

Geometry Level 4

A $4\times 4\times 4$ grid has just enough material removed such that the front side projects an $\text{X},$ the right side a $\text{Y},$ and the top side a $\text{Z}.$ 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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