Answer :
The first step to find the volume of the pyramid, is to find the area of the base of the pyramid. In this case, the base is a triangle and its base is 6ft and its height is 7ft:
[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ A=\frac{6\cdot7}{2} \\ A=21 \end{gathered}[/tex]Now, use the area and the following formula to find the volume of the pyramid, the height of the pyramid is 6.
[tex]\begin{gathered} V=\frac{1}{3}Ab\cdot h \\ V=\frac{1}{3}\cdot21\cdot6 \\ V=42 \end{gathered}[/tex]The volume of the pyramid is 42 ft^3.