High School

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 is 2.75 g/cm³, which is consistent with knowledge that the experimental density of aluminum is approximately 2.70 g/cm³.

Explanation:

The question asks about finding the density of aluminum given the mass of an aluminum cube and the measurement of one side. To calculate the density of the aluminum cube, we need to first find its volume and then use the formula density = mass/volume.

To find the volume of a cube, we use the formula Volume = side³. Since one side of the cube measures 4 cm, the volume is 4 cm x 4 cm x 4 cm = 64 cm³. Given that the mass of the aluminum cube is 176 g, we can now calculate the density.

Using the formula for density, we have: Density = 176 g / 64 cm³ = 2.75 g/cm³. Therefore, the density of the aluminum is 2.75 g/cm³, which is consistent with knowledge that the experimental density of aluminum is approximately 2.70 g/cm³.