The bottom of the cuboid is a square. The area of the tank without one of the square sides is 108 m^2. (a^2 + 4ah = 108 m2). Volume is (h *a^2) What is the largest possible volume?

Answer 1

surface area = 5a^2 = 108

a^2 = 108/5

a3 = 108a/5 = (108/5)(sqr(108/5) = volume

= 108sqr(108)sqr(5)/25

=(108/25)6sqr3(sqr5)

= 4.32(6)sqr15

= 25.92sqr15

= about 100.39 m^3 = maximum volume

= about 100 cubic meters

largest possible volume is a cube with each edge equal, so h=a