a) 2 m, 12 m, 8 m
b) 4 m, 9 m, 16 m
c) 8 m, 12 m, 16 m
d) None of these
Answer: c
Explanation: Let the length, breadth and height of the box be 2x, 3x and 4x respectively
Then, surface area of the box :
= 2 [2x.3x + 3x.4x + 2x.4x]
= [2(6x2 + 12x2 + 8x2)]
= 52x2
$$\eqalign{
& 52{x^2} = \frac{{1248}}{{1.50}} \cr
& 52{x^2} = 832 \cr
& {x^2} = \frac{{832}}{{52}} \cr
& {x^2} = 16 \cr
& x = 4 \cr} $$
Hence, the diameter of the box are 8 m, 12 m and 16 m
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