A solid cube of side 12 cm is cut into -Maths 9th

1 Answer

Answer :

Volume of given cube = a3 = 123 = 12 x 12 x 12 cm3  Let the edge of the new cube = x  ∴  Volume of new cube = x3  Volume of 8 new cubes = 8x3  Now,    8x3 = 12 x 12 x 12 ⇒ x 3  = 12 x 12 x 12/8 =  6 3   ⇒  x = 6 cm  ⇒  Surface area of given cube/ Surface area of new cubes =  6a2/6x2  = 6 x 122/6 x 62 =  6 x 12 x 12/6 x 6 x 6 = 4/1 = 4 : 1

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