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A cube is made by arranging 64 cubes having side of 1 cm, find total surface area of cube so formed. |
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Answer» Side of one cube = 1 cm. ∴Volume of one cube = a3 = (1)3 = 1 cm3 ∴ Volume of 64 cubes = 64 x 1 = 64 cm3 Let the side of new cube = x cm. ∴ Volume of new cube = Volume of 64 cubes ∴ x3 = 64 => x = (64)1/3 = 4 cm. On comparing x = 4 ∴ Total surface area of new cube = 6a2 = 6 x (4)2 = 6 x 16 = 96 cm.2 |
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