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Show that of all the rectangles of given area, the square has the smallest perimeter.
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Feb 4, 2013
by
thanvigandhi_1
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Show that of all the rectangles with a given perimeter,the square has the largest area.
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An open box with a square base is to be made out of a given quantity of cardboard of area \( c^2\) square units. Show that the maximum volume of the box is \(\large\frac{c^3}{6\sqrt 3}\) cubic units.
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Feb 8, 2013
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An open box with a square base is to be made out of given quantity of sheet of area \( a^2 \). Show that maximum volume of the box is \( \large\frac{a^3}{6\sqrt3}.\)
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Jan 25, 2013
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An open box with a square base is to be made out of given quantity of sheet of area \( a^2\). Show that maximum volume of the box is \( \large\frac{a^3}{6\sqrt 3}. \)
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Jan 15, 2013
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A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.
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Show that the cylinder of given volume open at the top has minimum total surface area if its height is equal to radius of the base.
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Feb 8, 2013
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cbse
class12
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