volume of a rectangular block of stone is 2592 dm3 and its dimensions are in the ratio 4:3:1 . find its dimension.

Let length = 4xwidth = 3xheight = 1xVolume of cuboid = 2592(4x)(3x)(x) = 259212x3 = 2592x = 259212 = 2163 = 6So the dimensions are : 4x = 24 dm; 3x = 18 dm; x = 6dm

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volume of a cuboid = lbh = 2592dm3

ratio = 4:3:1

volume = 4x*3x*1x=2592

8x = 2592

x = 2592/8 = 324

l = 3240db

b = 9720db

h = 12960db

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