(Solved): \( 1.9 \) The figure below shows the design of a large water tank in the shape of a cuboid with a s ...

\( 1.9 \) The figure below shows the design of a large water tank in the shape of a cuboid with a square box and no top. The square base is of length \( \mathrm{x} \) metres and its height is \( \mathrm{h} \) metres. It is given that the volume of the tank is \( 500 \mathrm{~m}^{3} \). What is the surface area of the tank and minimum value for Area (A). [2] A. Surface Area and minimum value of \( A(x+4 x h ; x=20 \mathrm{~m}) \) B. Surface Area and minimum value of \( \mathrm{A}\left(x^{2}+\frac{2000}{x} ; x=10 \mathrm{~m}\right) \) C. Surface Area and minimum value of \( A\left(x^{2}+\frac{2000}{2 x} ; x=12 m\right) \)