Ifthemassofanobjectis37kgandvolumeis4.4m³,whatisthedensityoftheobject?Giveyouranswerto2decimalplacesifneeded.

1. Break Down the Problem

To calculate the density of an object, we need to understand the formula for density. Density ($\rho$) is defined as the mass ($m$) of the object divided by its volume ($V$).

2. Relevant Concepts

The formula for density is given by: $\rho = \frac{m}{V}$ Where:

• $\rho$ = density
• $m$ = mass of the object (in kg)
• $V$ = volume of the object (in m³)

3. Analysis and Detail

For the given problem:

• Mass ($m$) = 37 kg
• Volume ($V$) = 4.4 m³

Now, we will substitute the values into the density formula:

$\rho = \frac{37 \, \text{kg}}{4.4 \, \text{m}^3}$

Performing the division:

$\rho = \frac{37}{4.4} \approx 8.4091 \, \text{kg/m}^3$

4. Verify and Summarize

Calculating the value to two decimal places, we have:

$\rho \approx 8.41 \, \text{kg/m}^3$

Final Answer

The density of the object is approximately $8.41 \, \text{kg/m}^3$.