Question

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

Explanation:

Step1: Calculate the base area

The base is a right - triangle with base \(b = 12\) mm and height \(h = 15\) mm. The area of a triangle \(A=\frac{1}{2}\times b\times h\).
\(A=\frac{1}{2}\times12\times15 = 90\) \(mm^{2}\)

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 (\(H = 11\) mm).
\(V=\frac{1}{3}\times90\times11\)
\(V = 30\times11\)

Answer:

\(330\)