Geometry

Let's say a company is manufacturing juice boxes that are rectangular prisms with dimensions 4 inches by 3 inches by 4 inches. The company has a warehouse whose dimensions are 40 feet by 30 feet by 20 feet. If the company makes 200,000 juice boxes, will it be able to store all of the juice boxes in the warehouse?

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  1. (40*12*30*12*20*12)/(200000*(4*3*4)) = 4.32
    so, yes, the warehouse is plenty big enough.

    Or, considering that 1 ft^3 holds 36 boxes, it requires only 5555.5 ft^3 for the whole batch, and the room is 24,000 ft^3, there's plenty of room.

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