Question

2.1kg pile of aluminum (density of 2.70 g/cm3) cans is melted, then cooled into a solid cube. What is the volume of the cube?

Answer 1

The volume of the solid cube can be calculated by dividing the mass of the pile of aluminum cans by the density of aluminum. Using the given values of density and mass, the volume is approximately 778.53 cm³.

Step-by-step explanation:

To find the volume of the solid cube, we need to use the density of aluminum and the mass of the pile of aluminum cans. Density is defined as mass divided by volume. So, the volume of the cube can be calculated by dividing the mass of the aluminum pile by its density.

Given that the density of aluminum is 2.70 g/cm³ and the mass of the pile is 2.1 kg (which is equal to 2100 g), we can use the formula:

Volume = Mass / Density

Substituting the known values, we have:

Volume = 2100 g / 2.70 g/cm³

Calculating this, we find that the volume of the cube is approximately 778.53 cm³.

Answer 2

To calculate the volume of the cube we have to use the formula,

`\rho = (m)/(V)`

Here,
`\rho` is the density , m is mass and V is the volume.

Given,
`\rho= 2.70 g/cm^(3)` and
`m = 2.1 kg` ( in gram
`m= 2.1 * 1000= 2100 g`)

Substituting the given values in above formula we get,

`2.70g/cm^3 = (2100 g)/(V)`

or

`V=(2100 g)/(2.70 g/cm^3)`

`V= 777.8 cm^3`

Thus, the volume of cube is
`777.8 cm^3`