Two solid statues are cast from the same metal and are similar in shape. Their heights are 30 cm and 45 cm, and the smaller one weighs 16 kg. Find the weight of the larger statue in kg.

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Accepted Answer

54. The linear ratio is 45/30 = 1.5. Since the metal is the same, weight is proportional to volume, which grows as the cube of the linear ratio: 1.5³ = 3.375. Weight = 16 × 3.375 = 54 kg.

Two solid statues are cast from the same metal and are similar in shape. Their heights are 30 cm and 45 cm, and the smaller one weighs 16 kg. Find the weight of the larger statue in kg.

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