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Question

Except for one face of a given cube, identical cubes are glued to all the other faces of the given cube. If each side of the given cube measures 3 cm, what is the total surface area of the solid body thus formed?


  1. 234 cm2

  2. 279 cm2

  3. 225 cm2

  4. 270 cm2


Solution

The correct option is A

234 cm2


Total surface area of one cube = 6 a2

Except one side all other sides is glued with another cube of same size, hence the surface area of original cube = 6 a2 - 5a2

Now, after glued one side is in attached with original cube and so, surface area of remaining 5 sides are = 5×5 (a) 2  

 So, total surface area of resultant figure =6 a2 - 5a2 + 5×5 (a) 2 = 26 a2 = 26 × 9 = 234 cm2.

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