The height of a rectangular parallelepiped is 6 2/3 cm; its length is 2 1/4 times greater. the height and the width
| August 13, 2021 | education
The height of a rectangular parallelepiped is 6 2/3 cm; its length is 2 1/4 times greater. the height and the width is 20% of the length. calculate the volume of the parallelepiped.
The height of a rectangular parallelepiped is a = 6 2/3 cm, since its length b is 2 1/4 times its height, then b = 6 2/3 • 2 1/4 = 20/3 • 9/4 = 15 (cm ), the width c is 20% = 0.2 of the length b, then c = 0.2 • b. c = 0.2 • 15 = 3 (cm), in order to calculate the volume of a parallelepiped, you need to multiply all its dimensions: length, width and height, that is, V = a • b • c. V = 6 2/3 cm • 15 cm • 3 cm = 300 cubic meters. cm.
Answer: the volume of a rectangular parallelepiped is 300 cubic centimeters.
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