Answer: 2 g/cm^3
Step-by-step explanation:
Remember the relation:
density = mass/volume.
Now, we know that:
Density of metal A = 2.4 g/cm^3
Density of metal B = 1.8 g/cm^3
We know that their masses are combined in the ratio 2:3
Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.
Mass of metal C = 60g
mass of metal A = (2/5)*60g =24g
mass of metal B = (3/5)*60g = 36g
Now that we know the mass of each metal, we can find their volumes by:
volume = mass/density
Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3
Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3
The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:
Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3
Then we know the volume and weight of metal C, then the density of metal C is:
Density of metal C = (60g)/(30cm^3)= 2 g/cm^3
