Question

A piece of wood having dimensions $1m\times 2m\times 3m$ has $2kg$ mass. What is the density of wood? Would the wood float in water?
(density of water= $1000kg{m}^{-3}$)

• A. $0.33kg{m}^{-3}$, Yes
• B. $3\times {10}^{-3}kg{m}^{-3}$, No
• C. $0.33\times {10}^{-3}kg{m}^{-3}$, No
• D. $3kg{m}^{-3}$, Yes

Answer 1

The correct option is A $0.33kg{m}^{-3}$, Yes

Given:
Mass of wood piece, $m_{wood}=2kg$
Density of water, $d_{water}=1000kg{m}^{-3}$

Volume of the wood piece is:
$V=1m\times 2m\times 3m=6m^3$

Density of wood piece is:
$d_{wood}=\frac{m_{wood}}{V_{wood}}$

$d_{wood}$ = $\frac{2kg}{6m^3}$

$d_{wood}=0.33kg{m}^{-3}$.

So, wood piece is less dense than water and hence, it would float.