A cubic piece of metal measures 3.00cmcm on each edge. If the metal is nickel, whose density is 8.90 g/cm3{\rm g/cm}^3, what is the mass of the cube?
Is that 3.00 cmcm a typo and you meant to write 3.00 cm on an edge.
mass = volume x density
volume = (3.00)^3 = 27 cc
density = 8.90 g/cc
Substitute and solve for mass in grams.
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To find the mass of the cube, we need to use the formula:
mass = volume × density
First, let's calculate the volume of the cube. The formula for the volume of a cube is:
volume = edge length × edge length × edge length
Given that the edge length of the cube is 3.00 cm, we can substitute this value into the formula:
volume = 3.00 cm × 3.00 cm × 3.00 cm
Calculating the volume:
volume = 27.00 cm^3
Next, we can substitute the density of nickel, which is 8.90 g/cm^3, into the formula:
mass = 27.00 cm^3 × 8.90 g/cm^3
Finally, calculating the mass:
mass = 240.30 g
Therefore, the mass of the nickel cube is 240.30 grams.