Question

find the volume of this triangular prism. be sure to include the correct unit in your answer. 7 in 9 in 6 in

Explanation:

Step1: Calculate base - area of the triangular base

The base of the triangular prism 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 $6$ in and the height is $7$ in. So, $A = \frac{1}{2}\times6\times7= 21$ in².

Step2: Calculate the volume of the prism

The volume formula for a prism is $V=A\times length$, where $A$ is the base - area and $length$ is the length of the prism. The length of the prism is $9$ in. So, $V=21\times9 = 189$ in³.

Answer:

189 in³