Given the following information:

Pallet width $-5\mathrm{.}00$

Clearance between pallets $-0\mathrm{.}25$

Pallet length $-5\mathrm{.}00$

Case height $-4\mathrm{.}00$

Number of ties high of cases per pallet $-3$ Tiers

Wooden pallet height $-0\mathrm{.}50$

Number of pallet positions high $3$

Space above each pallet for racking system $1\mathrm{.}00$

Honeycombing is $15\%$ allowance with $20$ cases on each pallet

Question: Given the previous information give me the cubic storage space required at a maximum number of $50,000$ expected cases at any given time.