Determine the height of the marble column if its volume is 2400 dm3.
| July 17, 2021 | education
Determine the height of the marble column if its volume is 2400 dm3. The marble column has a square at the base with a perimeter of 200 cm.
Initial data: V (volume of this marble column) = 2400 dm3 (2.4 m3); P (perimeter of the base of the marble column, square) = 200 cm (2 m); the marble column is a rectangular parallelepiped.
1) Calculate the area of the base of the marble column: S = P ^ 2/16 = 2 ^ 2/16 = 0.25 m2.
2) Determine the height of the marble column: h = V / S = 2.4 / 0.25 = 9.6 m.
Answer: The height of this marble column is 9.6 m.
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