What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5 inches, that an be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch?

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The storage space measurements of 1 foot by 2 feet by 2 feet, 1 inch can be converted to inches as 12 inches by 24 inches by 25 inches. Boxes measuring 3 inches by 4 inches by 5 inches can be stacked so that four of the 3-inch sides make up the 12-inch storage dimension, six of the 4-inch sides fill the 24- inch storage dimension, and five of the 5-inch sides fill the 25-inch storage dimension. There will be 4 x 6 * 5, or 120, boxes packed into the storage space.

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