Question

Gold h as a d ensity I of 19.3g/cm^3 How m any g rams would 40mm^3 of gold w eigh?

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Answer

4.1189 Voting

VernonElite · Tutor for 8 years

Answer

### 0.772 g

Explain

## Step 1: Convert Volume Units ### Convert \(40 \mathrm{~mm}^{3}\) to \(\mathrm{cm}^{3}\). Since \(1 \mathrm{~cm}^{3} = 1000 \mathrm{~mm}^{3}\), we have: \[40 \mathrm{~mm}^{3} = \frac{40}{1000} \mathrm{~cm}^{3} = 0.04 \mathrm{~cm}^{3}\] ## Step 2: Apply Density-Mass-Volume Relationship ### Use the formula \(\text{Mass} = \text{Density} \times \text{Volume}\). Given the density \(19.3 \mathrm{~g/cm}^{3}\) and the volume \(0.04 \mathrm{~cm}^{3}\), we calculate: \[\text{Mass} = 19.3 \mathrm{~g/cm}^{3} \times 0.04 \mathrm{~cm}^{3} = 0.772 \mathrm{~g}\]

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