Question : Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume of the new cube formed.
Option 1: 1881 cm3
Option 2: 1674 cm3
Option 3: 1444 cm3
Option 4: 1221 cm3
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Correct Answer: 1674 cm 3
Solution : The volume of a cube = (Side) 3 The volume of the first cube = 7 3 = 343 cm 3 The volume of the second cube = 11 3 = 1331 cm 3 When the two cubes are melted and formed into a single cube, the volume of the new cube is the sum of the volumes of the original cubes = 343 + 1331 = 1674 cm 3 Hence, the correct answer is 1674 cm 3 .
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