Question: Determine the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, one vertex at the origin,

Determine the volume of the largest rectangular box in the first octant

Determine the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, one vertex at the origin, and its opposite vertex in the plane 3z+6y+z = 18. (6 pts.)

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