Question

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

Answer 1

(a) 0.0345 g/cm^3

Step-by-step explanation:

Given:

Edge length of cube (a) = 0.750 m

Mass = 14.56 kg

To determine:

The density of the cube

Calculation:

`Density = (Mass)/(Volume)-----(1)`

`Cube\ volume = a^(3) = (0.750m)^(3) =0.422m^(3)`

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)

`Cube\ density = (14.56*10^(3)g)/(0.422*10^(6) cm3) =3.45*10^(-2) g/cm^(3)=0.0345 g/cm3`