Question
Three metallic cubes whose sides are 15 cm, 20 cm and
25 cm respectively are melted and converted into a single cube. If there is no loss of metal in this process, then what is the length of the side of the new cube?Solution
Let us assume the side of the single cube be X The volume of the first cube = 153 = 3375 cm3 The volume of the second cube = 203 = 8000 cm3 The volume of the third cube = 253 = 15625 cm3 The total volume of all three cubes = The volume of the reshaped single cube X3 = 3375 + 8000 + 15625 X3 = 27000 X = ∛ 27000 = 30 cm ∴ The required result will be 30 cm.
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