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