Question

find the volume of this triangular prism. be sure to include the correct unit in your answer. 6 m 10 m 6 m

Explanation:

Step1: Find 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 $6\ m$ and the height is $6\ m$. So, $A=\frac{1}{2}\times6\times6 = 18\ m^{2}$.

Step2: Calculate the volume of the triangular prism

The formula for the volume of a triangular prism is $V = Area\ of\ the\ base\times length\ of\ the\ prism$. The length of the prism is $10\ m$. So, $V = 18\times10 = 180\ m^{3}$.

Answer:

$180$ cubic meters (or $180\ m^{3}$)