The volume of the rectangular parallelepiped is 180 dm3 and its two dimensions are 6 cm and 15 cm

The volume of the rectangular parallelepiped is 180 dm3 and its two dimensions are 6 cm and 15 cm, find the sum of the lengths of all the edges of the parallelepiped.

Answer: 92 dm.
Knowing the volume of a rectangular parallelepiped and its two dimensions, we find the third dimension from the formula V = a * b * c:
C = v / a / b;
180: 6: 15 = 2 dm – third dimension;
Now, knowing all the measurements, we find the length of all edges of the parallelepiped by the formula L = 4 * (a + b + c):
4 * (6 + 15 + 2) = 92 dm – the sum of the lengths of all the edges of the parallelepiped.



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