Answer :
Answer:
about 1.129 m
Step-by-step explanation:
You want the height of a model bronze statue with a volume of 0.385 m³ if it is similar to one 4.5 m high with a mass of 195,200 kg, given bronze has a density of 8000 kg/m³.
Volume
The volume of the full-size statue is ...
Volume = mass/density
Volume = (195,200 kg)/(8000 kg/m³) = 24.4 m³
Height
The ratio of volumes is the cube of the ratio of heights:
(h/4.5)³ = (0.385/24.4)
h = ∛(0.385/24.4) · 4.5 ≈ 1.129 . . . . . meters
The model statue is about 1.129 meters high.
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