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Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
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Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
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Divide:
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Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
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Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
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Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.
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A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
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Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.
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Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
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| Length | breadth | height | |
| (i) | 2ax | 3by | 5cz |
| (ii) | m2n | n2p | p2m |
| (iii) | 2q | 4q2 | 8q3 |
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Find the greatest 4-digit number which is a perfect square.
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Check the divisibility of 152875 by 9.
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Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
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