Question

Find the density, in g/cm3, of a metal cube with a mass of 50.3 g and an edge length (l) of 2.65 cm. the volume (v) of a cube is v=l3

Answer 1

The density of the metal cube with an edge length of 2.65 cm and a mass of 50.3 g is calculated to be 2.70 g/cm³ after finding its volume to be 18.61 cm³ and using the formula for density.

Step-by-step explanation:

To find the density of the metal cube, we should first calculate its volume. The volume V of a cube is found using the formula V = l³, where l is the edge length of the cube. Given the edge length 2.65 cm, the volume would be:

V = (2.65 cm) ³ = 18.61 cm³ (rounded to two decimal places).

Next, we use the formula for density ρ = mass/volume. The mass of the cube is given as 50.3 g. Therefore, the density of the metal cube is:

ρ = mass/volume = 50.3 g / 18.61 cm³ = 2.70 g/cm³ (rounded to two decimal places).

Answer 2

Density is a physical property which describes the mass of a substance per unit of volume of the substance. It is expressed as Density = m / V. We calculate as follows:

Density = m / V

V = volume of a cube = (edge length) ^3 = (2.65 cm) ^3 = 18.61 cm^3

Density = 50.3 g / 18.61 cm^3 = 2.70 g / cm^3