We are given 
a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius
so, thermal conductivity is 

while we want the batting thermal conductivity in w/cm•c
The only difference is that metre and cm
so, we need to change metre into centimeter 
we know 
1m =100cm
so, we can write thermal conductivity as

we can replace 1m as 100cm

now, we can simplify it 

so, thermal conductivity is 
 ................Answer
................Answer