A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 3.6 cm . Its mass is 1.5 kg . Calculate the density of the metal.
volume = l x w x h = ? cc
mass = 1.5 kg = ? g
density g/cc = mass/volume
1434
To calculate the density of the metal, we need to use the formula:
Density = Mass / Volume
First, we need to calculate the volume of the block of metal using the given dimensions:
Volume = Length * Width * Height
Substituting the given values:
Volume = 17.1 cm * 3.2 cm * 3.6 cm
Now, multiply the values:
Volume = 186.624 cm³
Next, we plug the mass and volume into the density formula:
Density = 1.5 kg / 186.624 cm³
To solve this equation, we need to convert the mass from kilograms to grams to match the units of volume:
1.5 kg = 1500 g
Now we can substitute the values into the formula:
Density = 1500 g / 186.624 cm³
To get the density, we just have to divide the mass by the volume:
Density ≈ 8.04 g/cm³
Therefore, the density of the metal is approximately 8.04 grams per cubic centimeter.