The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. the width of the box is x – 1 while the height is x + 8. find the expression representing the length of the box

The length of the box is (x+4).

Step-by-step explanation:

The volume of a rectangular prism is represented by the function

Rewrite the given function in factored form.

It is given that the width of the box is x – 1 while the height is x + 8.

The volume of a rectangular prism is

where, l is length, b is width and h is height.

Divide both sides by bh.

Substitute the value of volume, height and width.

Cancel out the common factors.

Therefore the length of the box is (x+4).

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step-by-step explanation: