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1. The width of the blue purse that is similar to the red purse is approximately 50.6 cm.

   How to Determine the Linear Measurement and Volume of Similar Solids?

   If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:

   Volume of solid A/volume of solid B = a³/b³.

   We are given two purses that are similar to each other:

   Volume of Blue purse = 837 cm³

   Volume of Red purse = 248 cm³

   Width of Red purse = 15 cm

   Let width of Blue purse be = x

   Therefore we would have the following ratio:

   Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³

   Plug in the values

   837/248 = x/15

   Cross multiply

   (248)(x) = (837)(15)

   248x = 112,555

   Divide both sides by 248

   248x/248 = 112,555/248

   x = 50.6 cm

   The width of the blue purse is approximately 50.6 cm.

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