Question

A piece of wood having dimensions 1m×2m×3m has 2 kg mass. What is the density of wood? Would the wood float in water?
(density of water= 1000 kg m−3​

Answer 1

SOLUTION
Given:
Mass of wood piece,
m
w
o
o
d
=
2

k
g

Density of water,
d
w
a
t
e
r
=
1000

k
g

m
−
3


Volume of the wood piece is:
V
=
1

m
×
2

m
×
3

m
=
6

m
3


Density of wood piece is:
d
w
o
o
d
=
m
w
o
o
d
V
w
o
o
d


d
w
o
o
d
=
2

k
g
6

m
3


d
w
o
o
d
=
0.33

k
g

m
−
3
.

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