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

Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed ? Correct Answer 234 cm<sup>2</sup>

Clearly, each of the 5 faces of the given cube are glued to a face of another cube
∴ Total surface area of the solid :
= 5 × 5a2 + a2 = 26a2
= (26 × 32) cm2
= 234 cm2

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