5158.An open tank with a square base and vertical sides is to be constructed from a metal sheet soas to hold a given quantity of water. Show that the total surface area is least when depth of thetank is half of its width.(CBSE 2010)orAn open tank with a square base and vertical sides is to be constructed from a mctal shtet soas to hold a given quantity of water. Show that the cost of the material will be least when thedepth of the tank is half of its width.(CBSE 2003, 2007; P.B. 2007)

5158.An open tank with a square base and vertical sides is to be const

1.	5158.An open tank with a square base and vertical sides is to be constructed from a metal sheet soas to hold a given quantity of water. Show that the total surface area is least when depth of thetank is half of its width.(CBSE 2010)orAn open tank with a square base and vertical sides is to be constructed from a mctal shtet soas to hold a given quantity of water. Show that the cost of the material will be least when thedepth of the tank is half of its width.(CBSE 2003, 2007; P.B. 2007)
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