Question

find the volume of the figure. the volume of the figure is (round to the nearest whole number as needed)

Explanation:

Step1: Calculate the base area

The base is a triangle. The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(6m\) and the height is \(10m\). So, \(A = \frac{1}{2}\times6\times10=30m^{2}\).

Step2: Calculate the volume of the triangular pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}\times base - area\times height\). The base - area \(A = 30m^{2}\) and the height \(H=9m\). Then \(V=\frac{1}{3}\times30\times9\). First, \(\frac{1}{3}\times30 = 10\), then \(10\times9=90m^{3}\).

Answer:

\(90\)