Question

what is the volume of this triangular pyramid? 19 cm 11 cm 12 cm cubic centimeters

Explanation:

Step1: Calculate base - area

The base is a triangle with base $b = 12$ cm and height $h_{base}=11$ cm. The area of a triangle $A=\frac{1}{2}\times b\times h_{base}$. So, $A=\frac{1}{2}\times12\times11 = 66$ $cm^{2}$.

Step2: Calculate volume

The volume of a pyramid $V=\frac{1}{3}\times A\times H$, where $A$ is the base - area and $H$ is the height of the pyramid. Here, $H = 19$ cm and $A = 66$ $cm^{2}$. So, $V=\frac{1}{3}\times66\times19= 418$ $cm^{3}$.

Answer:

418