Answer :

Given, thickness = 5cm = 0.5dm

weight of empty box = 115.5 kg


weight of filled box = 880.5 kg


Length of inner side of box = 12dcm


breadth of inner side of box = 8.5 dcm


According to question, volume of rice inside the box = Inner capacity of box


weight of filled box-weight of empty box = length × breadth height


( 880.5-115.5)kg = 12×8.5×h


dcm3 = 102 h {1 cubic dcm rice is 1.5kg}


h =


h = 5 dcm


As, thickness of the box = 0.5dcm


So, outer length of box (L) = inner length + 2xthickness = 12 + 2×0.5 = 13 dcm


outer breadth of box(B) = inner breadth + 2Xthickness = 8.5 + 2×0.5 = 9.5 dcm


outer height of box(H) = inner height + 2X thickness = 5 + 2×0.5 = 6 dcm


As,Outer surface area = 2(LB + BH + LH)


= 2(13×9.5 + 9.5×6 + 6×13)


= 2(123.5 + 57 + 78)


= 2×285.5


= 517 dcm2


According to question, cost of 1 dcm2 = Rs.1.5


So, cost of 517 dcm2 = Rs.(1.5×517)


= Rs 775.5


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