# The width of the rectangular parallelepiped is 80% of its length and the height is 124%

March 26, 2021 | education

| **The width of the rectangular parallelepiped is 80% of its length and the height is 124% of its length. find v if the sum of the edge lengths is 30.4**

We denote the length of the parallelepiped by X.

Then the width of the parallelepiped is (0.8 * X), and the height is (1.24 * X).

X + (0.8 * X) + (1.24 * X) = 30.4 dm.

3.04 * X = 30.4.

X = 30.4 / 3.04 = 10 dm.

The length is 10 inches.

The width is 10 * 0.8 = 8 dm.

The height is 10 * 1.24 = 12.4 in.

Let’s find the volume of the parallelepiped: V = 10 * 8 * 12.4 = 992 dm3.

Answer: V = 992 dm3.

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