The volume of a rectangular parallelepiped is 165 cm3. Its measurements are expressed
| January 13, 2021 | education
The volume of a rectangular parallelepiped is 165 cm3. Its measurements are expressed in prime numbers. Find the dimensions of this parallelepiped.
The volume of a rectangular parallelepiped is found by multiplying its length, width and height. Since the volume is 165 cubic centimeters, one of the dimensions is five. (165 ends with 5, so it is divisible by 5).
Find the product of the remaining measurements.
165: 5 = 33.
33 can only be obtained one way, by multiplying 3 and 11.
This means that the length, width and height of the rectangular parallelepiped are 11 cm, 5 cm and 3 cm.
3, 5 and 11 are prime numbers, since units are not divisible by anything other than themselves.
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