Question
What is the density of an object with a mass of 100 g and a volume of 50 cm3?
Final Answer
The final answer which is the density (ρ = m/v = 100/50 = 2 g/cm3) of the object is 2 g/cm3. When we convert 2 g/cm3 into kg/m3, we will now have 2000 kg/m3.
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 cm3 = 5.0 x 10-5 m3
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/m3. Therefore, the unit of final answer is supposed to be in kg/m3
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 m3) = 2000 kg/m3
Therefore, the density of the object is 2000 kg/m3.
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