A cubic piece of metal measures 7.50 cm on each edge. If the metal is nickel, whose density is [tex]8.90 \, \text{g/cm}^3[/tex], what is the mass of the cube?
Answer (2)
To find the mass of a cubic piece of metal, we can use the formula: density = mass/volume. Given that the edge length of the cube is 7.50 cm and the density of nickel is 8.90 g/cm³, we can calculate the volume of the cube by cubing the edge length: 7.50 cm x 7.50 cm x 7.50 cm = 421.875 cm³. Now, we can rearrange the formula to solve for mass: mass = density x volume. Plugging in the values, we get: mass = 8.90 g/cm³ x 421.875 cm³ = 3748.4375 g. Therefore, the mass of the cube is approximately 3748.44 g.
The mass of the nickel cube measuring 7.50 cm on each edge is approximately 3748.44 grams. This is calculated using the formula for volume and the density of nickel. The volume is determined by cubing the edge length and multiplying by the density to find the mass.
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