# Box in the Air (Part 2)

Geometry Level 2

The point $$O$$ is the origin in the $$xyz$$ coordinates, and the point $$P$$ is the vertex of a cuboid, as shown above. The length of $$OP$$ is 7 while the three dimensions are all integers, where the length is the product of the width and the height of the cuboid.

What is the volume of the cuboid?

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