Answer:
hi
Step-by-step explanation:
Let x = the length of the sides of the base and h = the height:
Volume = (area of base)(height)
V = x2h
2048 = x2h
2048/x2 = h
Surface Area = area of base + 4(area of vertical side)
SA = x2 + 4xh
Eliminate the h by using 2048/x2 = h:
SA = x2 + 4x(2048/x2)
SA = x2 + 8192 x-1
Take the derivative of SA wrt x, set it to zero, solve for x. Plug that value of x into the surface area equation to find the minimum surface area.
