# Mathematics Guideline on the Warehouse Economics Math Problem (Math Problem Sample)

Calculate the theoretical and the practical (using 85% rule of thumb) square footage needed to warehouse 200,000 pallets under the following conditions:

• Pallet size is 42” x 42”

Pallets will be stacked 4 high

Aisle width is 9’

Theoretical square feet required_________

Practical square feet required (using 85% rule of thumb) ___________

• Pallet size is 42” x 42”

Pallets will be stacked 5 high

Aisle width is 12’

Theoretical square feet required_________

Practical square feet required (using 85% rule of thumb) ___________

Preliminary Guideline on the Warehouse

Adoption of 85% rule of thumb on the square footage for warehouse measuring 200,000 pallets. Conditions provided are as follows:

* Size of pallet 42” x 42”

* The stacking of the pallet is 4 high

* With of the aisle is measuring 9’

* When pallets are stacked 5 high

* Aisle having with of 12’

Calculations

Question Answer One

Theoretically, the size of one (1) pallet would assume:

Length x width x height which is 48×48×9×4=82944 cubic inch

Noting the measurements as follows:

0.0069=1cubic inch

Therefore,

572.31 square feet = 82944 cubic inch

Give the need to store 200000 pallets within the warehouse, and there is a need for theoretical square feet measurements as given below:

572.31×200000=114462000

Thus, the theoretical measurements required for the warehouse will be:

114462000 square feet

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