The width of the rectangular parallelepiped is 60% of the length and 35% of the height.
March 12, 2021 | education
| The width of the rectangular parallelepiped is 60% of the length and 35% of the height. Calculate the volume of a rectangular parallelepiped if its length is 70 dm.
To solve this problem, remember that the volume of a rectangular parallelepiped is equal to the product of its three dimensions – length, width and height. Let’s calculate what the width is, knowing that it is 60% of the length, which is 70 decimeters.
70 * 60/100 = 70 * 0.6 = 42 dm.
Let’s calculate what the height is, knowing that 35% of it is 42 dm. Let’s represent the percentage as a part.
35% = 35/100 = 0.35.
42 / 0.35 = 120 dm.
Let’s find the volume of the parallelepiped.
V = 120 * 70 * 42 = 352800 dm ^ 3.
Answer: 352800 dm ^ 3.
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