Question

What is the volume of this triangular Pyramid photo attached

Answer 1

To find the volume of a triangular pyramid, the formula is:

$V=\frac{1}{3}(Area\text{ }of\text{ }thebase)(height)$

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

$\begin{gathered} A=\frac{1}{2}bh \\ \\ A=\frac{1}{2}(5)(6) \\ \\ A=15\text{ square feet} \end{gathered}$

We use this area to find the volume.

$\begin{gathered} V=\frac{1}{3}Ah \\ \\ V=\frac{1}{3}(15)(6) \\ \\ V=30\text{ cubic feet} \end{gathered}$

The volume of the triangular pyramid is 30 cubic feet.