from each corner of a square of tin ,30cm on a side ,,small squares of side x cm are removed and the edges turned up to form an open box..Express the volume V (m^3) as a function of x and examine the range of each variable..........

Question

from each corner of a square of tin ,30cm on a side ,,small squares of side x cm are removed and the edges turned up to form an open box..Express the volume V (m^3) as a function of x and examine the  range of each variable..........

aravindg · Answer

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anonymous · Answer

here side of square = 30 cms
now after removing x cms from the corners we have
base = 30-2x
 and, height =x
so, volume v=  (30-2x)^2x cms^3
so, volume v=  (30-2x)^2x /1000 m^3