Answer :
The density of the object is 147 units per cubic meter.
Let's find the density of an object with a mass of 31,605 units and a volume of 215 cubic meters.
1. Identify the Given Values:
- Mass [tex](\( \text{m} \))[/tex] of the object: 31,605 units
- Volume [tex](\( \text{V} \))[/tex] of the object: 215 cubic meters
2. Recall the Formula for Density:
- Density [tex](\( \rho \))[/tex] is given by the formula:
[tex]\[\rho = \frac{\text{m}}{\text{V}}\][/tex]
where [tex]\( \rho \)[/tex] represents the density, [tex]\( \text{m} \)[/tex] is the mass, and [tex]\( \text{V} \)[/tex] is the volume.
3. Substitute the Given Values into the Formula:
- Plug in [tex]\( \text{m} = 31,605 \)[/tex] and [tex]\( \text{V} = 215 \)[/tex]:
[tex]\[\rho = \frac{31,605}{215}\][/tex]
4. Calculate the Density:
- Perform the division to find the density:
[tex]\[\rho = 147\][/tex]