Answer:
A closed box is to be made in the shape of a cuboid of height h (in cm) with a rectangular base that has sides of length x (in cm) and 2x (in cm). Its volume is required to be `1000 cm^3
The height of the shipping box is 15 inches.
The volume of a rectangular prism: length x width x height. The volume is expressed in cubic units.
given:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
Now, Volume = Base Area * Height
Height = Volume/Base Area
Height = 9000/(20 * 30)
Height = 15 in
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches.
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