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Rainbow [258]
3 years ago
6

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.
Mathematics
2 answers:
krek1111 [17]3 years ago
4 0

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

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

Step-by-step explanation:

Dvinal [7]3 years ago
3 0

Answer:

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.

<u>To find the equation to represent volume</u>

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

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