Question

what is the volume of this triangular pyramid? 15 mm 11 mm 12 mm cubic millimeters

Explanation:

Step1: Calculate base - area

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

Step2: Calculate volume

The volume of a pyramid $V=\frac{1}{3}\times A_{base}\times h$, where the height of the pyramid $h = 15$ mm. Substitute $A_{base}=66$ $mm^{2}$ and $h = 15$ mm into the formula: $V=\frac{1}{3}\times66\times15=330$ $mm^{3}$.

Answer:

330