EXPLANATION:
Given;
We are given a triangular pyramid with the following dimensions;
[tex]\begin{gathered} Base\text{ }area=5ft^2 \\ Height=12ft \end{gathered}[/tex]Required;
We are required to calculate the volume of this pyramid from the dimensions given.
Step-by-step solution;
The volume of a triangular pyramid is given by the formula;
[tex]Volume=\frac{1}{3}Bh[/tex]Where the variables are;
[tex]\begin{gathered} B=base\text{ }area \\ h=height \end{gathered}[/tex]The volume now will be calculated as follows;
[tex]\begin{gathered} Volume=\frac{1}{3}\times5\times12 \\ \\ Volume=20 \end{gathered}[/tex]Therefore,
ANSWER:
[tex]V=20ft^3[/tex]Volume = 20 cubic feet