A block of metal has a width of 3.2cm, a length of 17.1cm, and height of 3.6 cm. Its mass is 1.3 kg. Calculate the density of the metal.
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To calculate the density of the metal, we need to divide its mass by its volume.
1. The first step is to calculate the volume of the metal. The volume of a rectangular block can be found by multiplying its width, length, and height.
Volume = width × length × height
Plug in the given values:
Volume = 3.2 cm × 17.1 cm × 3.6 cm
2. Multiply the numbers together:
Volume = 197.184 cm³
3. Now that we have the volume, we can calculate the density by dividing the mass of the metal by its volume.
Density = mass / volume
Plug in the given values:
Density = 1.3 kg / 197.184 cm³
4. However, we need to make sure that the units are consistent. Since the mass is in kilograms, we should convert the volume to cubic meters.
1 m³ = 1,000,000 cm³
Volume (in m³) = Volume (in cm³) / 1,000,000
5. Convert the previously calculated volume to cubic meters:
Volume (in m³) = 197.184 cm³ / 1,000,000
Volume (in m³) = 0.000197184 m³
6. Now we can calculate the density:
Density = 1.3 kg / 0.000197184 m³
7. Divide the mass by the volume:
Density ≈ 6586.98 kg/m³
Therefore, the density of the metal is approximately 6586.98 kg/m³.