What is the height of a six sided Polygon Prism if the width of it is 8cm, because i am trying to find the ALateral which can not be more than 480cm2, and the base is "opened" on only one side,...

What is the height of a six sided Polygon Prism if the width of it is 8cm, because i am trying to find the ALateral which can not be more than 480cm2, and the base is "opened" on only one side, just like a, "Six sided Polygon Prismed" cup. Thank you.

Expert Answers
baxthum8 eNotes educator| Certified Educator

If the six-sided polygon has a height of `8 cm` , the ALateral area would be ``.  However if you just want to restrict the ALateral to ``cm^2. Then we can say:

``  (6*8)x ≤ 480 where x represents the height.  Solve for x.

  48x ≤ 480

    x ≤ 10

The height must be less than 10 cm.