Question

 substance has a mass M= 100 kg and a volume V=0.415 m3. Find density

Answer 1

Explanations & Calculations

• The average density — $\small \rho$ — of a substance of volume $\small V$and a mass of $\small m$ is given by the equation

$\qquad\,\,\,\small m=V\rho$.

• And the SI units for this quantity is $\small kgm^{-3}$ or simply $kg/m^3$
• And the knowns for this question are $\small m=100kg$ and $\small V =0.415m^3$
• Therefore, simply plugging these into the equation stated above we get the result.

$\qquad\qquad \begin{aligned} \small \rho&=\small \frac{m}{V}\\ \small &=\small \frac{100\,kg}{0.415\,m^3}\\ &=\small \bold{240.964\,kgm^{-3}} \end{aligned}$