Question

Find a formula for the described function. an open rectangular box with volume 6 m3 has a square base. express the surface area sa of the box as a function of the length of a side of the base, x.

Answer 1

x^2 * h = 6
   
h = 6%2Fx%5E2
   
:
       
Surface area of an open box
   
S.A. = x^2 + 4(x*h)
   
;
   
Replace h with6%2Fx%5E2
   
S.A. = x^2 + 4(x*6%2Fx%5E2)
   
;
   
Cancel x:
   
S.A. = x^2 + 4(6%2Fx)
   
:
   
f(x) = x^2 + 28%6Fx; is the surface area in terms of x