Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
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?
(a)$225 \mathrm{cm}^{2}$
(b)$234 \mathrm{cm}^{2}$
(c)$270 \mathrm{cm}^{2}$
(d)$279 \mathrm{cm}^{2}$
Answer
Answer (as printed): B
Explanation
Clearly, each of the 5 faces of the given cube are glued to a face of another cube. $$\begin{aligned} & \therefore \text { Total surface area of the solid } 5 \times 5 a^{2}+a^{2}=26 a^{2} \\ & =\left(26 \times 3^{2}\right) \mathrm{cm}^{2}=234 \mathrm{cm}^{2} . \end{aligned}$$