Question
Suppose you build an architectural model of a new concert hall using a scale factor of 34. How will the volume of the actual concert hall compare to the volume of the square model?
Answers
The volume of two similar objects is proportional to the cube of their respective sides, so
volume of the real thing : Volume of model = 34^3 : 1^3 = 39,304 : 1
volume of the real thing : Volume of model = 34^3 : 1^3 = 39,304 : 1
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