# The volume of a rectangular parallelepiped is 30 cm2 find the length, height, width.

This task cannot be solved unequivocally. First, the volume of any shape cannot be expressed in square centimeters.

Secondly: let’s say we were trying to somehow solve the problem, we corrected an inaccuracy: instead of the phrase “square centimeters” we wrote “cubic centimeters”. This raises another problem. Having at our disposal only the volume of a rectangular parallelepiped, without any other information, it is simply impossible to unambiguously determine as many as three unknowns!

If the compiler of the assignment wanted to express (algebraically – with the help of letters) each of the quantities through the rest and (of course, through the volume of 30 cm3), then please.

As you know, the volume (V) of a rectangular parallelepiped, with known length a, width b of the base and height h, can be determined by the formula V = a * b * h.

We have: 30 cm3 = a * b * h, whence a = (30 cm3) / (b * h) or b = (30 cm3) / (a * h) or h = (30 cm3) / (a * b) …