# The width of a rectangular parallelepiped 24/7, its length is 7/8 of the width, and the height is 5/6

July 29, 2021 | education

| **The width of a rectangular parallelepiped 24/7, its length is 7/8 of the width, and the height is 5/6 of the length. Calculate the volume of the parallelepiped.**

1. Find the length of the parallelepiped if it is 7/8 of the width:

7/8 * 24/7 = 24/8 = 3.

2. Find the height of the parallelepiped if it is 5/6 of the length:

3 * 5/6 = 5/2 = 2.5.

3. Find the volume of the parallelepiped by the formula V = a * b * c, where V is the volume of the parallelepiped, and, c, b are its length, height and width, respectively:

V = 24/7 * 3 * 2.5 = 180/7 = 25 ^ 5/7 units 3.

Answer: the volume of a parallelepiped is 25 ^ 5/7 units3.

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