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]
