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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