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      <text>27.3.4.1 mass and volume</text>
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      <text><![CDATA[<h3>Applications of tripple and higher integrals</h3>
<p>The integral \(\displaystyle\int \displaystyle\int \displaystyle\int f(x,y,z) \;\mathrm{d}z \,\mathrm{d}y\,\mathrm{d}x\) (or \(\displaystyle\int_V f(x,y,z) \;\mathrm{d}V)\) may represent many physical quantities depending on the function \(f(x,y,z)\) and the limits used. 
<h4>Volume</h4>
The integral \(\displaystyle\int_V 1 \;\mathrm{d}V\) (i.e. the integral of the function \(f(x,y,z)=1\)) with appropriate limits gives the volume of the solid described by \(V\). This is sometimes more convenient than finding the volume by means of a double integral.
<h4> Mass </h4>
The integral \(\displaystyle\int \displaystyle\int \displaystyle\int \rho(x,y,z) \;\mathrm{d}z\,\mathrm{d}y\,\mathrm{d}x\) (or \(\displaystyle\int_V \rho(x,y,z) \;\mathrm{d}V\)), with appropriate limits, gives the mass of the solid bounded by \(V\). <p>]]></text>
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