A square hole half metre by half metre is dug 2 metre deep . The soil taken out is spread over a patch 4 m long and 50 cm wide . Find the height of the soil spread.
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The square hole is in form of a cuboid.
Length = 0.5m = 50cm
Breadth = 0.5m = 50cm
Height = 2m = 200cm
Soil taken: Volume of hole
= l × b × h
= 50*50*200 = 500000 cm^3
Now, length of patch = 400 cm
breadth of patch = 50cm
Height = h
l*b*h = Volume of soil
500000 = 400*50*h
h = 25cm
Thus height of the soil spread is 25 cm or 0.25m
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