The dimensions of a rectangular parallelepiped are 8cm, 12cm and 18cm.
| January 24, 2021 | education
The dimensions of a rectangular parallelepiped are 8cm, 12cm and 18cm. Find an edge of a cube whose volume is equal to the volume of this parallelepiped.
Since the volume of the cube in question corresponds to the volume of the parallelepiped, the following equality will be true: a ^ 3 = V (volume of the body) = l * s * h, whence we express: a = (l * b * h) ^ 1/3, where l – length of the parallelepiped (18 cm); b – width (12 cm); h – height (8 cm).
Calculation: a = (l * s * h) ^ 1/3 = (18 * 12 * 8) ^ 1/3 = 12 cm.
Answer: The cube in question, according to the calculation, has an edge length of 12 cm.
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