A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 4.3cm . Its mass is 1.2kg . Calculate the density of the metal.
volume = length x width x height in cc.
mass is 1.2 kg = 1200 g
density = mass/volume.
thanks. the answer is 5.1
Technically you are not right. The answer is 5.1 g/cc.
To calculate the density of the metal, we need to use the formula:
Density = Mass / Volume
The given measurements are the width (3.2 cm), length (17.1 cm), and height (4.3 cm) of the metal block. To calculate the volume, we multiply these three measurements together:
Volume = Width × Length × Height
Substituting the values:
Volume = 3.2 cm × 17.1 cm × 4.3 cm
Now, we have the mass (1.2 kg) and volume. To calculate the density, we divide the mass by the volume:
Density = 1.2 kg / (3.2 cm × 17.1 cm × 4.3 cm)
Before calculating the final result, we need to convert the measurements to the appropriate units. Since the mass is already in kilograms, we need to convert the volume to cubic meters (m³):
1 m = 100 cm
1 m³ = (100 cm)³ = 1,000,000 cm³
Thus, the volume in meters cubed is:
Volume = (3.2 cm × 17.1 cm × 4.3 cm) / (1,000,000 cm³/m³)
Now we can calculate the density:
Density = 1.2 kg / (Volume in m³)
Substituting the values and solving the equation will give us the density of the metal.