17. calculate the volume of an object with a mass of 544g and a density of 80cm³. show complete solution.

There is an error in the problem statement. Density has units of mass per volume (e.g., g/cm³), but the given density of 80 cm³ is incorrect. Assuming the density is 80 g/cm³, here is the solution:

Explanation:

Step1: Recall density formula

The density formula is $\rho=\frac{m}{V}$, where $\rho$ is density, $m$ is mass and $V$ is volume. We need to solve for $V$. Rearranging the formula gives $V = \frac{m}{\rho}$.

Step2: Substitute values

We are given $m = 544$ g and $\rho=80$ g/cm³. Substituting these values into the formula $V=\frac{m}{\rho}$, we get $V=\frac{544\text{ g}}{80\text{ g/cm}^3}$.

Step3: Calculate volume

$V=\frac{544}{80}\text{ cm}^3 = 6.8\text{ cm}^3$

Answer:

$6.8\text{ cm}^3$