Find the volume of a rectangular parallelepiped if its length is 6 full 7/8 cm, height is 1 full 1/15 times

univerkov | January 12, 2021 | education

Find the volume of a rectangular parallelepiped if its length is 6 full 7/8 cm, height is 1 full 1/15 times the length and 21 full 1/33 cm less than the width.

1. What is the height of a rectangular parallelepiped?
6 7/8 * 1 1/15 = 55/8 * 16/15 = 22/3 = 7 1/3 (cm).
2. What is the width of this parallelepiped?
7 1/3 + 21 1/33 = 28 12/33 = 28 4/11 (cm).
3. What is the volume of a rectangular parallelepiped?
6 7/8 * 7 1/3 * 28 4/11 = 55/8 * 22/3 * 312/33 = 55 * 2 * 13 = 1430 (cm3).
Answer: 1430 cm3.

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