Find the sum of the lengths of all edges of a rectangular parallelepiped if its volume is 720 cm3

Find the sum of the lengths of all edges of a rectangular parallelepiped if its volume is 720 cm3 and two edges are equal to 125 cm and 8 cm.

A rectangular parallelepiped is a parallelepiped with each face represented by a rectangle.

Its volume is calculated by the formula:

V = a * b * c.

First of all, we find the length of the unknown edge of such a figure, provided that the volume is 720 cm³, and 2 edges are 125 and 8 cm:

a * 125 * 8 = 720,

a = 720: 125: 8 = 5.76: 8 = 0.72 cm.

The length of all edges of a rectangular parallelepiped is determined by the formula:

L = 2 * (ab + bc + ac) = 2 * (125 * 8 + 8 * 0.72 + 125 * 0.72) = 2 * (1000 + 5.76 + 90) = 2 * 1095.76 = 2191.52 cm.