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- Gold has a mass of 50 Kg , occupying a volume of \( 10 \mathrm{~cm}^{\wedge} 3 \) - Calculate the density

Ask by Wells Bates. in South Africa
Mar 16,2025

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The density of gold is \( 5 \times 10^{6} \, \mathrm{kg/m}^{3} \).

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Sure! To find the density of gold, you can use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Given that the mass is 50 kg and the volume is \( 10 \, \text{cm}^3 \), you need to ensure both units are compatible. First, convert 50 kg to grams (since 1 kg = 1000 g): \[ 50 \, \text{kg} = 50,000 \, \text{g} \] Now plug in the values into the formula: \[ \text{Density} = \frac{50,000 \, \text{g}}{10 \, \text{cm}^3} = 5000 \, \text{g/cm}^3 \] So, the density of gold is \( 5000 \, \text{g/cm}^3 \). Pretty dense, right? Gold is known for its incredible density, making it a valuable material!

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