A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 3.9cm . Its mass is 1.3kg . Calculate the density of the metal.
density = mass/volume, so
1.3kg / (3.2*17.1*3.9)cm^3
4.0*10^-6
To calculate the density of the metal, we need to divide its mass by its volume.
1. First, we need to calculate the volume of the metal. Since the metal is in the shape of a block, we can use the formula for the volume of a rectangular prism: Volume = length × width × height.
Volume = 17.1 cm × 3.2 cm × 3.9 cm
2. Multiply the dimensions to find the volume:
Volume = 209.088 cm³
3. Next, we need to convert the mass of the metal from kilograms to grams, as the units need to be consistent. There are 1000 grams in a kilogram, so the mass is:
Mass = 1.3 kg × 1000 g/kg
Mass = 1300 g
4. Finally, divide the mass by the volume to determine the density:
Density = Mass / Volume
Density = 1300 g / 209.088 cm³
Density ≈ 6.213 g/cm³
Therefore, the density of the metal is approximately 6.213 g/cm³.