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marusya05 [52]
3 years ago
9

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
Chemistry
1 answer:
maksim [4K]3 years ago
5 0

Answer:

(a) 0.0345 g/cm^3

Explanation:

<u>Given:</u>

Edge length of cube (a) = 0.750 m

Mass = 14.56 kg

<u>To determine:</u>

The density of the cube

<u>Calculation:</u>

Density = \frac{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 = \frac{14.56*10^{3}g}{0.422*10^{6} cm3} =3.45*10^{-2} g/cm^{3}=0.0345 g/cm3

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