A cubic piece of metal measures 7.50cm on each edge. If the metal is nickel, whose density is 8.90 {\rm g/cm}^3, what is the mass of the cube?
mass = volume x density
volume = (7.50 cm)^3
6.3991
To find the mass of the cube, we can use the formula:
Mass = Density x Volume
Given:
Density of nickel = 8.90 g/cm^3
Edge length of the cube = 7.50 cm
First, let's calculate the volume of the cube:
Volume = (Edge length)^3
Volume = (7.50 cm)^3
Calculating the volume:
Volume = 421.875 cm^3
Now, using the formula for mass:
Mass = Density x Volume
Mass = 8.90 g/cm^3 x 421.875 cm^3
Calculating the mass:
Mass = 3750.9375 grams
Therefore, the mass of the nickel cube is 3750.9375 grams.
To find the mass of the cube, we need to use the formula for density:
Density = Mass / Volume
The given density of nickel is 8.90 g/cm^3. We can rearrange the formula to solve for mass:
Mass = Density * Volume
The volume of a cube can be calculated by raising the length of one side to the power of 3:
Volume = (side length)^3
Given that the side length of the cube is 7.50 cm, we can substitute these values into the formula:
Volume = (7.50 cm)^3
To evaluate the expression, we need to cube the side length:
Volume = 7.50 cm * 7.50 cm * 7.50 cm
Calculating this will give us the volume of the cube. Substituting the volume and density into the mass formula will give us the answer.