if a cm, b cm, c cm respectively are the length, breadth and height of a cuboidal box such that its total surface area is 288 cm^2 and volume is 288 cm^3, then what is the value of the expression  1/a  +  1/b + 1/c?

Given dimensions of cuboid are a, b and c.
Therefore, volume of cuboid, V = abc  → (1)
Surface area of cuboid, S = 2(ab + bc + ca)  → (2)
Now divide (2) with (1), we get

So here 1a+1b+1c= S2V = 2882×288= 12

  • 1
What are you looking for?