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=(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=(1)/(2)bh \\ \\ A=(1)/(2)(5)(6) \\ \\ A=15\text{ square feet} \end{gathered}`

We use this area to find the volume.

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

The volume of the triangular pyramid is 30 cubic feet.