Question

what is the volume of this triangular pyramid? 10 cm 6 cm 7 cm cubic centimeters submit

Explanation:

Step1: Calculate the base area

The base is a right - triangle with base \(b = 7\) cm and height \(h = 6\) cm. The area of a triangle \(A=\frac{1}{2}\times b\times h\).
\(A=\frac{1}{2}\times7\times6 = 21\) \(cm^{2}\)

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 (\(H = 10\) cm).
\(V=\frac{1}{3}\times21\times10\)
\(V = 70\) \(cm^{3}\)

Answer:

\(70\)