One edge of a rectangular parallelepiped is 6.8 cm. The second edge is 85%

One edge of a rectangular parallelepiped is 6.8 cm. The second edge is 85% of the first and 40% of the third. Find the volume of this parallelepiped.

The edges of a rectangular parallelepiped a, b, c.
a = 6.8 cm,
b = 85% a = 0.85 a = 0.85 * 6.8,
b = 40% c = 0.40 c.
Then
0.4 s = 0.85 * 6.8;
c = 0.85 * 6.8: 0.4 = 5.78: 0.4 = 14.45.
b = 0.85 * 6.8 = 5.78.
The volume of the parallelepiped V = a * b * c
V = 6.8 * 5.78 * 14.45 = 567.9428.
Answer: the volume of the parallelepiped is V = 567.9428 cm3.



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