Find the volume of a parallelepiped if the areas of the three side faces are 65 cm ^ 2, 91 cm ^ 2 and 35 ^ 2

With these data, the volume can only be found for a rectangular parallelepiped.
Let’s denote the sides of the parallelepiped – a, b, c. Volume V = a * b * c.
Given:
a * b = 65cm ^ 2, b * c = 91cm ^ 2, c * a = 35cm ^ 2.
We can write the volume like this:
V = [(a * b * c) * (a * b * c)] ^ 0.5 = [(a * b) * (b * c) * (c * a)] ^ 0.5 = (65cm ^ 2 * 91cm ^ 2 * 35cm ^ 2) ^ 0.5 = (13 * 5 * 13 * 7 * 5 * 7) ^ 0.5cm ^ 3 = 13 * 5 * 7cm ^ 3;
V = 455cm ^ 3.



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