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Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is(a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm |
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Answer» The correct answer is option (a) 12 cm Explanation: Given that, the sum of the volume of the three metal cubes = 63 + 83 +103 V = 216+ 512+ 1000 V = 1728 cm3 Let the side of the new cube be “a” Therefore, the volume of the new cube = sum of the volume of the three cubes a3 = 1728 Hence, a = 12 cm |
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