A cubic piece of metal measures 7.50 cm on each edge. If the metal is nickel, whose density is 8.90g/cm^3, what is the mass of the cube?
volume = 7.5^3.
mass = volume x density
To calculate the mass of the cube, we need to use the formula:
Mass = Density × Volume
First, let's find the volume of the cube. Since the cube measures 7.50 cm on each edge, the volume formula for a cube is:
Volume = side length × side length × side length
Volume = 7.50 cm × 7.50 cm × 7.50 cm
Now, calculate the volume:
Volume = 421.875 cm³
Next, substitute the density (8.90 g/cm³) and the volume (421.875 cm³) into the mass formula:
Mass = 8.90 g/cm³ × 421.875 cm³
Calculate the mass:
Mass = 3751.875 g
Therefore, the mass of the nickel cube is 3751.875 grams.