Question

How to find length of cuboid when volume and surface area and base area is given?

Answer 1

volume, v=lbh

surface area, sa=2(lb+bh+hl)

base area, B=lb

now, h=v/B

b=B/l

so sa=2(l(B/l) + (B/l)(v/B) +(v/B)l)

sa=2(B + v/l +vl/B)

now put the values and get l since only l in unknown in the above equation