Question

what is the volume of this triangular pyramid? 12 mm 8 mm 10 mm cubic millimeters

Explanation:

Step1: Find base - area of the triangle

The base of the triangular pyramid is a triangle with base $b = 10$ mm and height $h_{base}=8$ mm. The area of a triangle $A=\frac{1}{2}\times b\times h_{base}$. So, $A=\frac{1}{2}\times10\times8 = 40$ $mm^{2}$.

Step2: Calculate the volume of the pyramid

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, $A = 40$ $mm^{2}$ and $H = 12$ mm. So, $V=\frac{1}{3}\times40\times12=160$ $mm^{3}$.

Answer:

160