Answer
Length $=(w+2)$
Work Step by Step
Formula to calculate the volume = Length X Breadth X Height
or, $V =L \times B \times H$
$(2w^3+7w^2+6w)=w(2w+3) \times length$
Need to find the common factors of the given expression.
Length=$\dfrac{(2w^3+7w^2+6w)}{w(2w+3)}$
$=\dfrac{(2w+3)(w+2)}{(2w+3)}$
$=(w+2)$
After simplification, we get
Length $=(w+2)$
