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

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

The volume of 1 part is 3.5 dm ^ 3;

Weight of 1 part – 27.3 kg;

Maasa 2 parts – 10.92 kg;

Volume 2 parts -?

Decision:

Knowing the volume and mass of the first part, as well as the fact that the second part is made of the same material, you can find the density of 1 and 2 parts. Density is equal to the ratio of mass to volume:

1) 27.3: 3.5 = 7.8 (kg / dm ^ 3) – density of 2 parts.

Now, knowing the density and mass of the second part, it is possible to calculate its volume as the ratio of mass to density:

2) 10.92: 7.8 = 1.4 (dm ^ 3) – the volume of the second part.

Answer: 1.4 dm ^ 3.