In a rectangular parallelepiped, the length is 2 times the width, and the height is five second of the length.

In a rectangular parallelepiped, the length is 2 times the width, and the height is five second of the length. Find the dimensions of a rectangular parallelepiped if its volume is 640 m 3.

Suppose that the width of this parallelepiped is x, then its length will be 2 * x, and the height

2 * x * 5/2 = 5 * x.

Thus, the volume of this parallelepiped is:

V = 2 * x * x * 5 * x = 10 * x³.

According to the condition of the problem, the following equation can be drawn up:

10 * х³ = 640,

х³ = 640: 10,

x³ = 64,

x = 4 (m) – the width of this parallelepiped,

2 * 4 = 8 (m) – the length of the parallelepiped,

5 * 4 = 20 (m) – the height of the parallelepiped.