Question

what is the volume of this triangular pyramid? volume = cubic centimeters

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(3\) mm and the height is \(2\) mm. So, \(A = \frac{1}{2}\times3\times2= 3\) \(mm^{2}\).

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}\times base - area\times height\). The base - area \(A = 3\) \(mm^{2}\) and the height of the pyramid (distance from the base to the apex) is \(4\) mm. Then \(V=\frac{1}{3}\times3\times4\).

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Answer:

\(4\)