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3 A piece of gold has a mass of 760 grams and a volume of 40cm^3 Work out the density of the piece of gold. 8

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A piece of gold has a mass of 760 grams and a volume of 40cm^3
Work out the density of the piece of gold.
8

3 A piece of gold has a mass of 760 grams and a volume of 40cm^3 Work out the density of the piece of gold. 8

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VaughnAdvanced · Tutor for 1 years

Answer

19 g/cm³

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## Step 1: Identify the given data and the formula to use<br />The problem has given two important informations: The mass (\(m\)) of the gold piece, which is 760 grams and the volume (\(V\)) which is \(40 cm^{3}\). The formula to determine the density (ρ, expressed in grams per cubic centimeter g/cm³) of an object is defined by the ratio of these two values.<br /><br />### \(\boldsymbol{\mathrm{Density} = \frac{\mathrm{Mass}}{\mathrm{Volume}}}\)<br /><br />## Step 2: Plug in the given values into the formula and perform calculations<br />Plug the given mass and volume into our density formula:<br /><br />### \(\boldsymbol{\mathrm{Density} = \frac{760 \,\mathrm{grams}}{40\\, cm^{3}}}\)<br /><br />By doing this operation, we find that the density of the piece of gold is 19 g/cm³.
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