High School

The volume of a liquid varies directly with its mass. A certain liquid with a mass of 16 kg has a volume of 2 L. What is the volume, in liters, of 128 kg of this liquid?

Answer :

Final answer:

The volume of 128 kg of this liquid is 16 liters.

Explanation:

The volume of a liquid is directly proportional to its mass. Therefore, if a certain liquid with a mass of 16 kg has a volume of 2 L, we can find the volume of 128 kg of this liquid by setting up a proportion.

Let's assume the volume is V liters:

16 kg / 2 L = 128 kg / V

Cross-multiplying and solving for V, we find:

V = (128 kg * 2 L) / 16 kg = 16 L

Therefore, the volume of 128 kg of this liquid is 16 liters.

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