Math

QuestionFind the volume of a 480 kg piece of copper in liters.

Studdy Solution

STEP 1

Assumptions1. The mass of the copper piece is480 kg. The density of copper is approximately8.96 g/cm³ (or8960 kg/m³ when converted to kg/m³)
3. We want to find the volume in liters, and1 m³ is equivalent to1000 liters

STEP 2

First, we need to find the volume of the copper piece. We can do this by using the formula for volume when mass and density are known.
Volume=MassDensityVolume = \frac{Mass}{Density}

STEP 3

Now, plug in the given values for the mass and density to calculate the volume.
Volume=480kg8960kg/m³Volume = \frac{480\, kg}{8960\, kg/m³}

STEP 4

Calculate the volume in cubic meters.
Volume=4808960=0.05357m³Volume = \frac{480}{8960} =0.05357\, m³

STEP 5

Now that we have the volume in cubic meters, we can convert this to liters by using the conversion factor that1 m³ is equivalent to1000 liters.
Volume=0.05357m³×1000liters/m³Volume =0.05357\, m³ \times1000\, liters/m³

STEP 6

Calculate the volume in liters.
Volume=0.05357×1000=53.57litersVolume =0.05357 \times1000 =53.57\, litersThe volume of the copper piece is approximately53.57 liters.

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