There is no limit to the number of cubes which can be arranged on top of a rectangular prism.
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10
A rectangular prism.
That, I am afraid, is the best that I can do! The xs in the top left are not part of the prism but are spacers for this browser. xxxxx______ xxxx/_/_/_/_/| xxx/_/_/_/_/|/| xx/_/_/_/_/|/|/ x/_/_/_/_/|/|/ /_/_/_/_/|/|/ |_|_|_|_|/|/ |_|_|_|_|/
120
none apexes are only for pyramids (the point at the top) there are no apexes in a rectangular prism