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#39139

geometry

similarity

hard

90 sec

Calculator OK

A sculptor creates a miniature replica of a large statue. The replica is geometrically similar to the original statue, and its dimensions are scaled down by a factor of $k$ . If the volume of the replica is $\frac{1}{27}$ of the volume of the original statue, what is the value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.