Answer :
Sure! To find the density of a body, we use the formula:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
In the problem, we're given:
- Mass (weight) = 1200 kg
- Volume = 250,000 cm³
However, we need to make sure the units are consistent. Density is often expressed in kilograms per cubic meter (kg/m³), so we need to convert the volume from cubic centimeters (cm³) to cubic meters (m³).
To convert from cm³ to m³, we use the conversion factor:
[tex]\[ 1 \, \text{m}^3 = 1,000,000 \, \text{cm}^3 \][/tex]
So, we convert the volume:
[tex]\[ \text{Volume in m}^3 = \frac{250,000 \, \text{cm}^3}{1,000,000 \, \text{cm}^3/\text{m}^3} = 0.25 \, \text{m}^3 \][/tex]
Now, we can calculate the density:
[tex]\[ \text{Density} = \frac{1200 \, \text{kg}}{0.25 \, \text{m}^3} \][/tex]
[tex]\[ \text{Density} = 4800 \, \text{kg/m}^3 \][/tex]
So, the density of the body is 4800 kg/m³.
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
In the problem, we're given:
- Mass (weight) = 1200 kg
- Volume = 250,000 cm³
However, we need to make sure the units are consistent. Density is often expressed in kilograms per cubic meter (kg/m³), so we need to convert the volume from cubic centimeters (cm³) to cubic meters (m³).
To convert from cm³ to m³, we use the conversion factor:
[tex]\[ 1 \, \text{m}^3 = 1,000,000 \, \text{cm}^3 \][/tex]
So, we convert the volume:
[tex]\[ \text{Volume in m}^3 = \frac{250,000 \, \text{cm}^3}{1,000,000 \, \text{cm}^3/\text{m}^3} = 0.25 \, \text{m}^3 \][/tex]
Now, we can calculate the density:
[tex]\[ \text{Density} = \frac{1200 \, \text{kg}}{0.25 \, \text{m}^3} \][/tex]
[tex]\[ \text{Density} = 4800 \, \text{kg/m}^3 \][/tex]
So, the density of the body is 4800 kg/m³.
