A metal part with a volume of 3.5 dm3 has a mass of 27.3 kg. Another part made of the same metal weighs 10.92 kg

A metal part with a volume of 3.5 dm3 has a mass of 27.3 kg. Another part made of the same metal weighs 10.92 kg. What is the volume of the second part?

Method 1.
Let’s find the mass ratio of the two parts.
27.3 / 10.92 = 2.5 times.
The part weighing 27.3 kg is 2.5 times larger.
Since both parts are made of the same metal, the volume of the second part will be 2.5 times less.
We get:
3.5 / 2.5 = 1.4 dm3

Method 2.
Find the weight of 1 cubic decimeter of the part.
We divide the known weight by the volume.
27.3 / 3.5 = 7.8 kg.
Determine the volume of the second part.
We divide the known weight by the obtained value.
10.92 / 7.8 = 1.4 dm3
Answer: The volume of the second part is 1.4 dm3



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