Question

Dimensions of a rectangle box are 2:3:4 and the difference between the cost of covering it with a sheet of paper at the rate of Rs4 and rs4.5permsq and is rs 4.6. Find the dimensions of the box.

Answer 1

cost ,1 = area×rate
=2(6x^2+12x^2+8x^2)×4
=52x^2×4
=208x^2
cost,2=area×rate
=52x^2 ×4.5
=234x^2
cost2-cost1=4.6
234x^2-208x^2=4.6
26x^2=4.6
x=0.41
L=2×0.41
=0.82m
B=3×0.41
=1.23m
H=4×0.41
=1.64m