The volume of the parallelepiped is 195 cubic cm 2, the volume is 385. find the length, width and height.

The volume of a parallelepiped is equal to the product of its height, width and length.
By condition, the volume of the parallelepiped is 195 cubic cm.
Let’s represent the number 195 as a product of prime factors:
195: 3 = 65;
65: 5 = 13.
The number 195 is the product of three prime numbers 3, 5 and 13, which are the lengths of its height, width and length.
So, the height, width and length of the parallelepiped are equal to 3, 5 and 13 in an arbitrary order (depending on which face to put this parallelepiped on).



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