what is the weight of the original sculpture?

Question

An art collector buys a replica of a famous sculpture. The replica has exactly the same shape as the original but is smaller. The original sculpture is
13ft
tall and made of bronze. The replica is
5ft
tall and also made of bronze. If the replica weighs
125 lb
, what is the weight of the original sculpture?

Answer 1

The volumes (weights) of two similar figures are related as the cube of the scale factor.

The scale factor is 5/13. The cube is 125/2197.

125 : w :: 125 : 2197

125w = (125)(2197)

w = 2197