Question

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.

Answer 1

Answer: y= x^3 + 25x^2 - 150x

It is possible for the width of the box to be : 5.2 inches

Explanation:

Answer 2

x³ + 25x² - 150x

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