A closed box made of wood of uniform thickness has length, breadth and height 12 cm, 10 cm and 8 cm… · ABC26GN4825

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: E.S.T.C. 2006

A closed box made of wood of uniform thickness has length, breadth and height 12 cm, 10 cm and 8 cm respectively. If the thickness of the wood is 1 cm, the inner surface area is

(a)$264 \mathrm{cm}^{2}$

(b)$376 \mathrm{cm}^{2}$

(c)$456 \mathrm{cm}^{2}$

(d)$696 \mathrm{cm}^{2}$

Answer

Answer (as printed): B

Explanation

Internal length $=(12-2) \mathrm{cm}=10 \mathrm{cm}$, Internal breadth $=(10-2) \mathrm{cm}=8 \mathrm{cm}$, Internal height $=(8-2) \mathrm{cm}=6 \mathrm{cm}$. Inner surface area $=2[10 \times 8+8 \times 6+10 \times 6] \mathrm{cm}^{2}$ $$=(2 \times 188) \mathrm{cm}^{2}=376 \mathrm{cm}^{2} .$$

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