Question

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?

Answer 1

The answer to your question is 189 parmesan cheese boxes

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