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Answer 4) 6" is the correct response.

 

          The company wants to change the dimesions of the container, but not the volume of product contained within the conatiner.  Therefore, you must first determine the volume of the old conatiner.  Using this you may then solve for the unknown dimesion (width) of the new one.


          The container is a rectangle, so apply the volume formula for a rectangle.

  • V = L x W x H

  • V = 6" x 4" x 3"

  • V = 72 in3


          Remember, when reporting volume you are using three dimension, length (L), width (W), and height (H).  This leads to a value reported in cubic.


           Since the volume of the new conatiner must remain equal to that of the old (72 in3) you must now rearrange the volume formula and solve for the unknown dimension (W).

  • V = L x W x H

  • Rearranged V/(L x H) = W

  • 72/(6 x 2) = W;     72/(12) = W;     6" = W