Posted by kgosi on Thursday, April 25, 2013 at 11:09am.
A water tank can be constructed with a metal top and two square ends that holds 16 cubic meter of water and requires 40 square meter of metal. find the dimensions of the water tank.

math  Steve, Thursday, April 25, 2013 at 11:16am
if the ends have side x, and the tank has height h,
x^2 h = 16
2x^2 + 4xh = 40
2x^2 + 4x(16/x^2) = 40
x^2 + 32/x = 20
x^3  20x + 32 = 0
(x2)(x^2+2x16) = 0
so, if x=2, the tank is 2x2x4
Answer This Question
Related Questions
 mathoptimal diameterand height  A cylindrical oilstorage tank is to be ...
 the lagrange multiplier equation  A cylindrical oilstorage tank is to be ...
 lagrange multipliers  A cylindrical oilstorage tank is to be constructed for ...
 calculus  Water is being filled into a water tank at 22 liters/second. The base...
 calculus  Water is being filled into a water tank at 22 liters/second. The base...
 Calculus AB/AP  A tank with a rectangular base and rectangular sides is to be ...
 maths  a rectangular tank 30cm×20cm×12cm contains water to a depth of 6 cm.A ...
 calculus  A tank with a rectangular base and rectangular sides is to be open at...
 math  a closed rectangular tank 180cm height, 300cm long and 200cm wide is made...
 math  Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic ...
More Related Questions