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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