Question

A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.

A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.


Let xx represent the length of the side of the square cutout (in inches).

  1. Write an expression in terms of xx that represents the width of the base of the box (in inches).


  2. Write an expression in terms of xx that represents the length of the base of the box (in inches).


  3. Write an expression in terms of xx that represents the height of the box (in inches).


  4. Write a formula that expresses the volume of the box in cubic inches, VV, in terms of the cutout length in inches, xx.


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