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?

Answer 1

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

Answer 2

Pick up a scientific calculator, and calculate the cubic root of 3375. Or type the following formula in Excel:=3375^(1/3)

Note: raising to a fractional power is equivalent to taking a root.

Answer 3

Approx 1.5009 metres if the water is at room temperature (20 deg C).

Exactly 1.5 meters per side if the water is at 4°C.
At that temperature, one cc of water weighs one gram, so one cubic meter weighs 1000 kilograms.
The cube volume is 3.375 cubic meters, each side is the cube root in meters.

Answer 4

water has density of 1 g/cm3 and volume = mass/density = 3375 cm3. Since it is a cube each side is the cube root of 3375 = 15 cm (15 x 15 x 15 = 3375)

Answer 5

Assuming that the water is at normal room temperature (20 deg C), the sides will be approx 1.501 metres.

Answer 6

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