# Math

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A design on a balloon is 2 cm wide when the balloon holds 47 cm^3. How much must the balloon hold for the design to be 6 cm wide? I'm confused about how to solve this. Could someone please show me the steps?

• Math -

length scale change is 3/1
volume changes as cube of length
Therefore 3*3*3 = 27 times
so
27*47= 1269 cm^3

• Math -

Thank you so much!

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