The length, breadth and height of a rectangular solid are in the ratio 10 : 6 : 3. If its total surface area is 13824 cm2 , find the length, breadth and height of the rectangular solid.
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Step-by-step explanation:
Let l , b and h of the cuboid be 10x , 6x and 3x respectively...
Now tsa formula = 2(lb+bh+hl)
Given that TSA of Cuboid is 13824 cm^2
So 2(10x*6x + 6x*3x + 3x*10x) = 13824
(60x + 18x + 30x) = 13824/2
108x = 6912
x = 6912/108 = 64
So l = 10x = 10*64= 640 cm
b = 6x = 6*64 = 384 cm
h = 3x = 3*64 = 192 cm
:D
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