The dimensions of an open box are 52 cm × 40 cm × 29 cm. It thickness is 2 cm. If 1 cu.cm of metal used in the box weight 0.5 gm, then the weight of the box is :
a) 6.832 kg
b) 37.576 kg
c) 7.76 kg
d) 8.56 kg
Answer: a
Explanation: Since the box is an open one, we have :
Internal length = (52 – 4) cm = 48 cm
Internal breadth = (40 – 4) cm = 36 cm
Internal depth = (29 – 2) cm = 27 cm
Volume of the metal used in the box :
= External volume – Internal volume
= [(52 × 40 × 29) – (48 × 36 × 27)] cm3
= (60320 – 46656) cm3
= 13664 cm3
Weight of the box :
$$\eqalign{
& = \left( {\frac{{13664 \times 0.5}}{{1000}}} \right){\text{kg}} \cr
& = 6.832\,{\text{kg}} \cr} $$
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