Three copper cubes whose edges measure 5 cm, -Maths 9th

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Answer :

Let a cm be the edge of new cube. Then volume of the new cube = Sum of the volumes of three cubes. ⇒ a3 = 53 + 43 + 33 = 125 + 64 + 27 ⇒ a3 = 216    ⇒ a3 = 63    ⇒ a = 6 cm  ∴   Surface area of the new cube = 6a2 = 6 x 62 = 216 cm2

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