The length of the rectangular parallelepiped is 56, the height is 5/7 of the length
| August 9, 2021 | education
The length of the rectangular parallelepiped is 56, the height is 5/7 of the length, and the width is 3/4 of the height. Calculate the volume of the parallelepiped.
1. It is known that the volume of a rectangular parallelepiped is equal to the product of its length by width and height.
2. Calculate the height if it is 5/7 of the length.
56 * 5/7 = 280: 7 = 40.
3. Determine the width of the parallelepiped if it is known that it is equal to 3/4 of the height.
40 * 3/4 = 120: 4 = 30.
4. When all sides have become known, we can find the volume of the parallelepiped.
56 * 40 * 30 = 67200.
Answer: The volume of a rectangular parallelepiped is 67200.
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