The volume of a rectangular parallelepiped is 165 cm3, its measurements are expressed in prime numbers
| January 11, 2021 | education
The volume of a rectangular parallelepiped is 165 cm3, its measurements are expressed in prime numbers. Find the measurements of a given rectangular parallelepiped
The volume of a rectangular parallelepiped is equal to the product of three quantities – length, width and height. A prime number is a number that is divisible only by one or by itself, that is, by the same number.
1) Find the first number in the measurement of the volume of a rectangular parallelepiped.
165/5 = 33;
2) Find the second prime number.
33/3 = 11:
3) Find the third number.
11/11 = 1;
Answer: The measurements of this parallelepiped are prime numbers 5, 3, 11, since the volume of the rectangular parallelepiped is 5 * 3 * 11 = 165 cm3.
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