Question

A piece of wood of mass $150g$ has a volume of$200c{m}^3$. Find the density of wood in

(a) CGS system.

(b) SI system.

Answer 1

(a) CGS system

Step 1:Given data:

Given

Mass of wood $m=150g$

Volume $V=200c{m}^3$

Step 2: formula used;

$Densityofwood=\frac{mass}{volume}$

$$\begin{gathered} Densityofwood=\frac{150g}{200c{m}^3} \\ =0.75gc{m}^{-3} \end{gathered}$$

Hence, the density of wood will be$0.75gc{m}^{-3}$.

(b) SI system

Step 1:Given data;

Mass of wood $m=150g=.15kg$

Volume $V=200c{m}^3=200\times {10}^{-6}{m}^3$

Step 2: formula used;

$Densityofwood=\frac{mass}{volume}$

$=\frac{.15kg}{200\times {10}^{-6}{m}^3}=750kg{m}^{-3}$

$Densityofwood=750kg{m}^{-3}$

Hence, the density of wood in the SI system$750kg{m}^{-3}$.