Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2011 · Marks: · Difficulty:
The dimensions of an open box are 52 cm × 40 cm $\times 29 \mathrm{cm}$. Its thickness is 2 cm. If 1 cu. cm of metal used in the box weighs 0.5 gm, then the weight of the box is
(a)6.832 kg
(b)7.576 kg
(c)7.76 kg
(d)8.56 kg
Answer
Answer (as printed): A
Explanation
Since the box is an open one, we have: Internal length $=(52-4) \mathrm{cm}=48 \mathrm{cm}$; Internal breadth $=(40-4) \mathrm{cm}=36 \mathrm{cm}$; Internal depth $=(29-2) \mathrm{cm}=27 \mathrm{cm}$. Volume of the metal used in the box = External volume - Internal volume $$=[(52 \times 40 \times 29)-(48 \times 36 \times 27)] \mathrm{cm}^{3}$$