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A machine shop worker records the mass of an aluminum cube as 176 g. If one side of the cube measures 4 cm, what is the density of the aluminum?

Answer :

Final answer:

The density of the aluminum cube is 2.75 g/cm³.

Explanation:

To find the density of the aluminum cube, we can use the formula:

Density = Mass / Volume

The mass of the aluminum cube is given as 176 g. The volume of a cube can be calculated by cubing the length of one side, in this case, 4 cm. So the volume is 4 cm × 4 cm × 4 cm = 64 cm³. Substitute the values into the formula to find the density:

Density = 176 g / 64 cm³

Simplify the expression to find the density of the aluminum cube:

Density = 2.75 g/cm³

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