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An open box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.
cbse
class12
modelpaper
2012
sec-c
q33
math
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asked
Dec 29, 2012
by
thanvigandhi_1
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A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is \( 8m^3\). If building of tank costs Rs. 70 per sq. metre for the base and Rs.45 per sq. metre for sides, what is the cost of least expensive tank?
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A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is \( 8m^3\) . If building of tank cost Rs. 70 per sq. metre for the base and Rs. 45 per sq. metre for sides, what is the cost of least expensive tank?
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2012
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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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2012
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A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square from each corner and folding up the flaps. What should be the side of the square in cms to be cut off so that the volume of the box is maximum ?
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Nov 27, 2012
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thanvigandhi_1
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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 \( \large\frac{a^3}{6\sqrt3}.\)
cbse
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2012
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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 \( \large\frac{a^3}{6\sqrt 3}. \)
cbse
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Jan 15, 2013
by
thanvigandhi_1
0
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A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible.
cbse
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Nov 27, 2012
by
thanvigandhi_1
1
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