xyz block

Geometry Level 3

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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