## Question

What is the density of an object with a mass of 100 g and a volume of 50 cm^{3}?

### Final Answer

The final answer which is the density (**ρ** = m/v = 100/50 = 2 g/cm^{3}) of the object is 2 g/cm^{3}. When we convert 2 g/cm^{3} into kg/m^{3}, we will now have 2000 kg/m^{3}.

### Explanation

**Data:** The information revealed in the question

Mass of the object, m = 100 g = (100 / 1000) kg = 0.1 kg = 1.0 x 10^{-1} Kg

Volume of the object, v = 50 cm^{3} = 5.0 x 10^{-5} m^{3}

**Unknown:** What we need to determine

Density of the object, **ρ** = ?

**Formula**: This is the equation that can help us solve the problem

Density (**ρ**) = Mass (m) / Volume (v)

Mathematically, the density formula is written as:

**ρ** = m/v

The si unit of density is kg/m^{3}. Therefore, the unit of final answer is supposed to be in kg/m^{3}

#### Solution

We will now apply our data into the appropriate formula to solve the problem

Density of the object, **ρ** = m/v = (1.0 x 10^{-1} kg) / (5.0 x 10^{-5} m^{3}) = 2000 kg/m^{3}

Therefore, the density of the object is 2000 kg/m^{3}.

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