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 \(5\) m and the height is \(6\) m.

$$A=\frac{1}{2}\times5\times6 = 15\space m^{2}$$

Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \(V = A\times length\), where \(A\) is the area of the base and \(length\) is the length of the prism. Here, \(A = 15\space m^{2}\) and the length of the prism is \(9\) m.

$$V=15\times9=135\space m^{3}$$

Answer:

\(135\space m^{3}\)