Question

table salt has a density of 2.16g/cm3. a cylindrical box holds 4.25 kg of salt. what is the volume, in cm3 occupied by the salt in the box?

Answer 1

To find the volume occupied by 4.25 kg of table salt with a density of 2.16 g/cm3, the mass is first converted to grams (4250 g), and then the volume is calculated using the formula V = m / ρ to obtain approximately 1967.59 cm3.

Step-by-step explanation:

The student is asking about the relationship between mass (m), density (ρ), and volume (V), specifically for table salt. To find the volume occupied by the salt in a cylindrical box, we use the formula for density: Density (ρ) = Mass (m) / Volume (V). The density of table salt is given as ρ = 2.16 g/cm3.

The mass of the salt is given as m = 4.25 kg. Since we want the units for volume in cm3, we need to convert the mass from kilograms to grams (1 kg = 1000 g), so m = 4.25 kg × 1000 = 4250 g.

Now we rearrange the density formula to solve for volume: V = m / ρ. Substituting the given values, we get V = 4250 g / 2.16 g/cm3. After calculating, we find the volume occupied by the salt is approximately 1967.59 cm3.

Answer 2

Given parameters:

Density of table salt = 2.16g/cm³

Mass of table salt = 4.25kg =
`(0.00425)/(2.16)`
`(0.00425)/(2.16)`g (1000g = 1kg)

Unknown:

Volume of table salt = ?

Solution:

To find the volume of the table salt, let us state the relationship between density, mass and volume.

Density is the mass per unit volume of substance.

Density =
`(mass)/(volume)`

Since the unknown is volume;

Density x volume = mass

Volume =
`(mass)/(density)`

Input the parameters and solve';

Volume =
`(0.000425)/(2.16)` = 1.97 x 10⁻³cm³

Volume of the table salt is 1.97 x 10⁻³cm³