When a cubic box is completely filled with 3375.0 kg of water. What is the length of one side of the box in meters?

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Answer

1230084

2026-08-18 11:00

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As the volume of a mass of water depends upon its density and its density depends upon its purity, temperature (and pressure) and state, there is more than one answer - there are infinitely many possible answers.

volume = mass/density

side length = ³√volume

Assuming pure water, some examples:

  • At 0°C, density ≈ 999.8 kg/m³ → side length = ³√(3375 kg / 999.8 kg/m³) ≈ 1.5001 m
  • At 4°C, density = 1000 kg/m³ → side length = ³√(3375 kg / 1000 kg/m³) = 1.5 m
  • At 20°C, density ≈ 998.2 kg/m³ → side length = ³√(3375 kg / 998.2 kg/m³) ≈ 1.5009 m
  • At 50°C, density ≈ 988.1 kg/m³ → side length = ³√(3375 kg / 988.1 kg/m³) ≈ 1.5060 m
  • At 100°C in water form, density ≈ 958.4 kg/m³ → side length = ³√(3375 kg / 958.4 kg/m³) ≈ 1.5214 m
  • At 100°C in steam form at 1 bar, density ≈ 0.590 kg/m³ → side length = ³√(3375 kg / 0.590 kg/m³) ≈ 17.88 m
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