Q. 254.9( 8 Votes )

The dimensions of

Answer :

Ratio of dimensions of rectangular box = 2:3:4


Let length of box = 2x m


Breadth of box = 3x m


Height of box = 4x m


Area of sheet of paper required for covering it = total surface area of cuboid


= 2(lb × bh × hl)


=2(6x2 + 12x2 + 8x2)


= 2×26x2


=52 x2 m2


Cost of covering it with sheet of paper at Rs.9.50 /m2


= 52 x2 × 9.50


=Rs.494 x2


Cost of covering it with sheet of paper at rate Rs.8/m2 = 52x2 × 8


=Rs.416 x2


= 494x2-416x2=1248 Given


= 78x2=1248


= x2=1248/78=16


= x= √16=4


So,


Length of box = 2x = 2×4 = 8 m


Breadth of box = 3x = 3×4 = 12 m


Height of box = 4x = 4×4 = 16 m


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