Sure, let's walk through the steps to find the density of the body given its weight and volume.
Step 1: Convert the volume from cubic centimeters (cm³) to cubic meters (m³)
1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³). Therefore, to convert the volume from cm³ to m³, we need to divide the given volume by 1,000,000.
[tex]\[ 250,000 \, \text{cm}^3 \div 1,000,000 = 0.25 \, \text{m}^3 \][/tex]
So, the volume of the body in cubic meters is [tex]\( 0.25 \, \text{m}^3 \)[/tex].
Step 2: Calculate the density
Density is defined as mass per unit volume. The formula for density ([tex]\( \rho \)[/tex]) is:
[tex]\[ \rho = \frac{\text{mass}}{\text{volume}} \][/tex]
Given:
- Mass ([tex]\( m \)[/tex]) = 1200 kg
- Volume ([tex]\( V \)[/tex]) = 0.25 m³
Substituting the values into the formula:
[tex]\[ \rho = \frac{1200 \, \text{kg}}{0.25 \, \text{m}^3} \][/tex]
Step 3: Perform the division
[tex]\[ \rho = 4800 \, \text{kg/m}^3 \][/tex]
Therefore, the density of the body is [tex]\( 4800 \, \text{kg/m}^3 \)[/tex].
