Math Problem Statement
A company manufactures plastic coat hangers that are packed in cardboard boxes for transportation. A shipment consists of 96 boxes where each box contains 150 coat hangers. Each box has the outer dimensions 0.8 x 0.6 x 0.5 m and the inner dimensions 0.795 x 0.595 x 0.495 m. The boxes are loaded on 24 pallets. The pallets are 0.8 x 1.2 m and their maximum allowed load height is 1.3 m, but they are packed to the height of 1 m. When fully loaded with boxes, each pallet is 1.15 m high (this includes the height of the pallet itself). The pallets are loaded on a truck. The available capacity in the truck is 44 m3. Each coat hanger has a volume of 0.000045 m3. Calculate the load factor on the pallet level (%).
Solution
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Math Problem Analysis
Mathematical Concepts
Volume calculations
Geometric packing
Formulas
Volume of a box: V_box = length × width × height
Volume of a pallet: V_pallet = length × width × height
Theorems
-
Suitable Grade Level
Advanced
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