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A shipping container is 48 inches wide x 40 inches deep x 48 inches tall. You have a case of parmesan cheese for export to Japan that it is an 20 cm x 20 cm x 20 cm box. In order to maximize your shipment over the ocean, how many of the parmesan boxes can you fit inside the shipping container?

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joseaaronlara

Answer:

The answer to your question is 189 parmesan cheese boxes

Step-by-step explanation:

Data

Container = 48 in x 40 in x 48 in

Cheese = 20 cm x 20 cm x 20 cm

Process

1.- Convert the length of the cheese to inches.

                            1 inch --------------- 2.54 cm

                             x        ---------------  20 cm

                             x = (20 x 1) / 2.54

                             x = 7.87 in

2.- Obtain the volume of the container and the volume of the cheese

      V container = 48 x 40 x 48 = 92160 in³

      V cheese    = 7.87 x 7.87 x 7.87 = 487.44 in³

3.- Divide the volume of the container by the volume of the cheese

Number of parmesan cheese boxes= Volume of container / volume of cheese

Number of parmesan cheese boxes= 92160 / 487.44

Number of parmesan cheese boxes = 189

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