Answer :
The mass of the cube is approximately 460.2 kg.
Use the formula for mass based on density and volume:
mass = density × volume
Step 1: Calculate the Volume of the Cube
The volume of a cube can be calculated using the formula:
volume = edge length³
Given that the edge length of the cube is 39.1 cm, we need to convert it to meters to match the density units.
39.1 cm = 0.391 m
Now, calculate the volume:
volume = (0.391 m)³ = 0.0600 m³
Step 2: Use the Given Density to Calculate the Mass
The density of the alloy is given as 7670 kg/m³. Now, we can substitute the values into the mass formula:
mass = 7670 kg/m³ × 0.0600 m³
Step 3: Calculate the Mass
mass = 460.2 kg