How to find the measurements of a rectangular parallelepiped if its V = 165 cm3.

The volume of a rectangular parallelepiped is equal to the product of the length and width of the base by the height. It is written by the formula

V = a * b * c, where a, b, c – length, width, height.

We know the volume, we can decompose the number 165 into prime factors.

165 = 3 * 5 * 11.

3, 5 and 11 are prime numbers. There are no other options for decomposition. It turns out that these numbers are the measurements of our rectangular parallelepiped.

Answer: 3 cm, 5 cm, 11 cm.



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