Question

. What are the possible polynomial expressions for the dimensions of the cuboids whose
volumes are given below?
(i) 12y square + 8y - 20​

Answer 1

$Let \: l,b \:and \: h \:are \: length ,\:breadth$

$and\: height \: of \: a \: Cubiod \: respectively$

$Volume \: of \: the \: Cuboid = 12y^{2}+8y-20$

$\implies l\times b \times h = 4(3y^{2}+2y-5)$

$\implies l\times b \times h = 4( 3y^{2}+3y-5y-5)$

$= 4[ 3y(y+1)-5(y+1) ]$

$= 4(y+1)(3y-5)$

Therefore.,

$\green { l = 4 , \: b = y+1 , \:and \: h = (3y-5) }$

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