We are given:
Density of glass in g/cm³ = 2.5
Finding the density in kg/m³:
In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg
Converting the g to kg:
2.5 g/cm³ * 1
Since 1kg = 1000g, 1kg/1000g = 1
2.5 g/cm³ * 1kg / 1000g
the g in the numerator and the denominator will cancel out and we will get:
2.5 kg / 1000 cm³
Converting the cm³ to m³:
We know that 1 m³ = 10⁶ cm³
So, 10⁶ cm³ / 1 m³ = 1
Multiplying the density by 1
2.5 kg / 10³ cm³ * 1
2.5 kg / 10³ cm³ * 10⁶ cm³ / 1 m³
the cm³ in the numerator and the denominator will cancel out
2.5 * 10⁶ kg / 10³ m³
2.5 * 10³ * 10³ kg / 10³ m³
2.5 * 10³ kg / m³
2500 kg/m³