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17 The density of gold is 19.3g/cm^3 Sam has a gold nugget of volume 7.5cm^3 Calculate the mass of the gold nugget.

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17 The density of gold is 19.3g/cm^3
Sam has a gold nugget of volume 7.5cm^3
Calculate the mass of the gold nugget.

17 The density of gold is 19.3g/cm^3 Sam has a gold nugget of volume 7.5cm^3 Calculate the mass of the gold nugget.

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VictorElite · Tutor for 8 years

Answer

Based on the given formula, performing the calculations and by substituting the known values in the formula, the mass of the gold nugget is \(145.75~g\).

Explain

## Step 1:<br />Given that the density (d) of gold is \(19.3~g/cm^3\) and the volume (V) of Sam's gold nugget is \(7.5~cm^3\).<br /><br />## Step 2:<br />We need to calculate the mass (m) of the gold nugget using the formula:<br /><br />### \(m = d \times V\)<br /><br />## Step 3:<br />Plug the given values into the formula<br /><br />### \(m = 19.3~g/cm^3 \times 7.5~cm^3\)<br /><br />## Step 4:<br />Calculate the above expression to get the mass of the gold nugget in grams.
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