Question 3 of 11 Attempt 3 One component of a metal sculpture consists of a solid cube with an edge of length 0.325 m. The alloy used to make the cube has a density of 8490 kg/m 3. Find the cube's mass.

The mass of the alloy = 291.45 kg.

Explanation:

Density: This can be defined as the ratio of the mass of a body to the volume of that body. The S. I unit of density is kg/m³.

Mathematically, density can be represented as,

D = m/v ... Equation 1

Where D = density of the alloy. m = mass of the cube, v = volume of the cube.

Making m the subject of the equation,

m = D*v ... Equation 2

Given: D = 8490 kg/m³,

v = volume of a cube = l³ where l = 0.325 m

v = 0.325³ = 0.0343281 m³

Substituting into equation 2

m = 8490*0.0343281

m = 291.45 kg.

Thus the mass of the alloy = 291.45 kg.