A cookie company packages its cookies in a rectangular prism box designed with square bases which have both a length and a width of 4 inches less than the height of the box. write a polynomial expression that represents the volume of a box with height x inches

Question

Mathematics

Janiya Cowan

7 September, 03:51

A cookie company packages its cookies in a rectangular prism box designed with square bases which have both a length and a width of 4 inches less than the height of the box. write a polynomial expression that represents the volume of a box with height x inches

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Avery Hayes · Answer 1

Represent your unknowns: Let s be the length of one side of the box. The relationship between s and x is s = x-4.

The volume of the box is (length) (width) (height), which here equals the following: V (x) = (x-4) * (x-4) * (x). You may either leave this result as is, or shorten it to V (x) = (x-4) ^2*x, or expand (x-4) * (x-4) * (x).