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?

• A. 225 cm²
• B. 234 cm²
• C. 270 cm²
• D. 279 cm²

Answer 1

The correct option is B

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.