Latest TCS Aptitude Question SOLUTION: The difference in painting a cuboid box with paint worth 5.50 per sq inch and 5 per sq inch is 188. If the dimensions of the box are in the ratio 3 : 4 : 5, find the volume of the

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The difference in painting a cuboid box with paint worth 5.50 per sq inch and 5 per sq inch is 188. If the dimensions of the box are in the ratio 3 : 4 : 5, find the volume of the box in cubic inches.
option
a) 360
b) 480
c) 240
d) 516

Asked In TCS Tanu (10 years ago)

Solved Ashutosh Anshu Read Solution (4)

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Read Solution (4) :

Ashutosh Anshu  (10 years ago)

total surface area of cuboid = 2(lb+bh+hl)
let the dimensions are in the ration 3x,4x,5x.
so total surface area = 2(3x*4x+4x*5x+5x*3x) = 94x^2
now.. 94x^2(5.50) - 94x^2(5) = 188
solving this equation we get x = 2. put the values in to dimensions. thus values are, 6,8,10. so volume = l*b*h = 6*8*10 = 480 . (answer)

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Aritri Mukherjee  (10 years ago)

total surface area =2(lb+bh+hl)=2(3x*4x+4x*5x+5x*3x)=94x^2
cost=5.50per sq inch and 5 per sq inch
so atq
5.50*94x^2-5*94x^2=188
94x^2(5.50-5)=188
so x=2
so sides =6,8,10
hence vol=6*8*10=480ans

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Danish Shaikh   (10 years ago)

Use surfacearea formula, u will get 480 as the volume

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amit  (10 years ago)

thanx a lot ashutosh anshu!!!!!

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