The dimensions of a rectangular box are in a ratio 2:3:4 and the difference between the cost of painting it with pink and blue color is ₹4 and ₹4.5 respectively is ₹416. Find the dimensions of the box.
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Step-by-step explanation:
Dimensions of a rectangular box 2:3:4
length=2x
breadth =3x
height =4x
surface Area =2(2x.3x+3x.4x+4x.2x)
=2(6x²+12x²+8x²)
=52x²
→9.5×52x² −8×52x²
=1248
∴1.5×52x²
=1248
∴x²= 1.5×52=1248
∴x² =16x=4
→l=2x=8cm,
b=3x=12cm,
h=4x=16cm.
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