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Friday, June 13, 2014

Rectangular Parallelepiped Problem, 9

Category: Solid Geometry

"Published in Newark, California, USA"

An electric refrigerator is built in the form of a rectangular parallelepiped. The inside dimensions are 3 ft. by 2.6 ft. by 1.8 ft. A freezing unit (1.1 ft. by 0.8 ft. by 0.7 ft.) subtracts from the storage room of the box. Find the capacity of the refrigerator. 

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

There are two rectangular parallelepiped in the figure, the storage room and the freezing unit of a refrigerator. The cooling unit of a refrigerator is equal to the difference of two rectangular parallelepiped. 

For the storage room of a refrigerator, the volume of a rectangular parallelepiped is


 
 
For the freezing unit of a refrigerator, the volume of a rectangular parallelepiped is
 
 
 
 
Therefore, the volume or the capacity of the cooling unit of the refrigerator is