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A wire of length 30 cm is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What could be the lengths of two peices, so that the combined area of the square and the circle is minimum?
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 25, 2013
by
thanvigandhi_1
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Related questions
A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
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A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
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A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.
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A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of the square to be cut off so that volume of the box is maximum?
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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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