the relative density of an alloy is 6.5.find the mass of the solid alloy cube of side 20cm.what volume of the alloy has a mass of 13kg
2000
what volume of alloy has a mass of 13kg
52kg
What volume of alloy has a mass of 13kg
To find the mass of the solid alloy cube, we need to use the formula for the density of a material:
Density = Mass / Volume
The relative density of an alloy is a ratio of its density to the density of another substance, typically water. In this case, the relative density is given as 6.5.
1. Calculate the density of the alloy:
Density of Alloy = Relative Density * Density of Water
The density of water is approximately 1,000 kg/m^3.
Density of Alloy = 6.5 * 1,000 kg/m^3 = 6,500 kg/m^3
2. Convert the side length of the cube to meters:
Side length in meters = 20 cm * 0.01 m/cm = 0.2 m
3. Calculate the volume of the alloy cube:
Volume = (Side length)^3
Volume = (0.2 m)^3 = 0.008 m^3
4. Calculate the mass of the solid alloy cube:
Mass = Density * Volume
Mass = 6,500 kg/m^3 * 0.008 m^3 = 52 kg
Thus, the mass of the solid alloy cube is 52 kg.
To find the volume of the alloy that has a mass of 13 kg, we can rearrange the density formula to solve for volume:
Volume = Mass / Density
1. Calculate the volume of the alloy with a mass of 13 kg:
Volume = 13 kg / 6,500 kg/m^3 = 0.002 m^3
So, 0.002 m^3 of the alloy has a mass of 13 kg.
if relative density (to water) is 6.5, then the actual density is 6.5g/cm^3
mass= density*volume= 6.5g/cm^3 * (20cm)^3
volume= mass/density= 13000/6.5 cm^3