The relative density of an alloy is 6.5,calculate the mass of the solid alloy cube of sides 20cm.what volume of alloy has a mass of 3kg
volume=20^3 cm^3
mass=6.5 g/cm^3 * 20^3 grams
volume=mass/density=3E3/(6.5 ) cm^3
So, the actual density is 6.5 times density of water:
D = 6.5 * 1g/cm^3 = 6.5g/cm^3.
a. M = D*V = 0.5g/cm^3 * (20cm)^3 = 4000g = 4kg.
b. M = D*V. V = M/D = 3000g/(6.5g/cm^3) = 462 cm^3.
Correction:
a. M = D*V = 6.5g/cm^3 * (20cm)^3
= 52,000g = 52kg.
To calculate the mass of the solid alloy cube, you can use the formula:
Mass = Density x Volume
Given that the relative density of the alloy is 6.5, we can determine the density of the alloy by multiplying its relative density by the density of water, which is 1000 kg/m³.
Density of the alloy = Relative density x Density of water
= 6.5 x 1000 kg/m³
= 6500 kg/m³
Now, to calculate the mass of the solid alloy cube with sides measuring 20 cm (or 0.2 meters), we can use the formula:
Volume = Side length³
= 0.2m x 0.2m x 0.2m
= 0.008 m³
Finally, we can calculate the mass of the solid alloy cube using the earlier formula:
Mass = Density x Volume
= 6500 kg/m³ x 0.008 m³
= 52 kg
Therefore, the mass of the solid alloy cube is 52 kg.
Now, to find the volume of alloy with a mass of 3 kg, we can rearrange the formula:
Volume = Mass / Density
Plugging in the given values:
Volume = 3 kg / 6500 kg/m³
= 0.0004615 m³
Therefore, the volume of alloy with a mass of 3 kg is approximately 0.0004615 cubic meters.