contestada

Determine the density of the following object in g/cm3. A cube with edge length=0.750 m and mass=14.56 kg. (a) 0.0345 g/cm^3 (b) 1.74 g/cm^3 (c) 670 g/cm^3 (d) 53.8 g/cm^3 (e) 14.6 g/cm^3

Respuesta :

Answer:

(a) 0.0345 g/cm^3

Explanation:

Given:

Edge length of cube (a) = 0.750 m

Mass = 14.56 kg

To determine:

The density of the cube

Calculation:

[tex]Density = \frac{Mass}{Volume}-----(1)[/tex]

[tex]Cube\ volume = a^{3} = (0.750m)^{3} =0.422m^{3}[/tex]

Unit conversions:

1000 g = 1 kg

Therefore, the mass of cube in g = 14.56*10³ g

10⁶ cm³ = 1 m³

Therefore the volume of the cube in cm³=0.422*10⁶cm³

Based on equation (1)

[tex]Cube\ density = \frac{14.56*10^{3}g}{0.422*10^{6} cm3} =3.45*10^{-2} g/cm^{3}=0.0345 g/cm3[/tex]