Ricardo is building a rectangular wooden box to ship a large item in. he needs the length of the box to be 30 inches longer than the width. he also needs the height of the box to be 5 inches shorter than the width. create an equation to represent the volume of the wooden box in terms of the width. the question wants me to fill in the blank y=_+_x^2-_x. it also asks what the largest width would be.

x³ + 25x² - 150x

Step-by-step explanation:

It is given that,the length of the box to be 30 inches longer than the width. He also needs the height of the box to be 5 inches shorter than the width.

To find the equation to represent volume

Let 'x' be the width of the rectangle

Length = x + 30

Height  = x - 5

Volume of rectangle = Length * width *height

 = (x + 30) * x * (x - 5)

 = x(x + 30)(x - 5)

 = x(x² - 25x -150)

 = x³ + 25x² - 150x