Answer: 6 cm
Step-by-step explanation:
Total surface area of cubical box = [tex]6a^2[/tex] , a= edge length of cube (i)
As per given ,
Total surface area of one box = [tex]\dfrac{\text{Cost of polishing}}{\text{Rate} \times\text{Number of boxes}}[/tex]
[tex]=\dfrac{151200}{20\times35}\\\\=\dfrac{151200}{700}\\\\= 216\ sq. cm[/tex] (ii)
Now from (i) and (ii) ,
[tex]6a^2 = 216\\\\\Rightarrow\ a^2= 36\\\\\Rightarrow\ a= 6 \text{ [By taking square root on both sides]}[/tex]
Hence, the edge of each cubical box = 6 cm.
