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Calculate the volume of a regular pyramid if the area of the base and the altitude lenght are given.

Calculate the volume of a regular pyramid if the area of the base and the altitude-example-1

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Solution:

Given regular pyramids;

The volume, V, of a regular pyramid is;


\begin{gathered} V=(1)/(3)bh \\ \\ \text{ Where }b=area\text{ of base},h=height \end{gathered}

(a)


\begin{gathered} S_(ABCD)=9cm^2,SO=5cm \\ \\ V=(1)/(3)(9)(5)cm^3 \\ \\ V=15cm^3 \end{gathered}

(b)


\begin{gathered} S_(ABCDEF)=500mm^2,SO=3cm \\ \\ S_(ABCDEF)=50cm^2 \\ \\ V=(1)/(3)(50)(3)cm^3 \\ \\ V=50cm^3 \end{gathered}

Calculate the volume of a regular pyramid if the area of the base and the altitude-example-1
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