Question

find the volume of this triangular prism.
be sure to include the correct unit in your answer.

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 \(b = 6\) ft and the height of the triangle is \(h=6\) ft.

$$A=\frac{1}{2}\times6\times6= 18\space ft^{2}$$

Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \(V=A\times l\), where \(A\) is the area of the base and \(l\) is the length of the prism. The length of the prism \(l = 8\) ft.

$$V=18\times8=144\space ft^{3}$$

Answer:

\(144\space ft^{3}\)