A Children's water tray is cuboid. It has a depth of d (in m), sides of length l (in m) and 4l (in m).  The water tray is required to hold a volume of V = 0.4m3. The expression for the volume of the water tray can be written as V = 4l2d = 0.4. The surface area can be expressed as A = 4l2 + 10dl.  Establish the value of l for which A is a minimum. Give your answer in metres.

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Section8.2: Perimeter And Area Of Polygons
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A Children's water tray is cuboid. It has a depth of d (in m), sides of length l (in m) and 4l (in m). 
The water tray is required to hold a volume of V = 0.4m3. The expression for the volume of the water tray can be written as V = 4l2d = 0.4. The surface area can be expressed as A = 4l+ 10dl. 
Establish the value of l for which A is a minimum. Give your answer in metres. 

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