Question

an oblique triangular prism is given. what is the volume of the prism? 72 in³ 36 in³ 24 in³ 18 in³

Explanation:

Step1: Calculate base - area

The base is a triangle with base $b = 4$ in and height $h = 3$ in. The area of a triangle $A_{base}=\frac{1}{2}\times b\times h$. So, $A_{base}=\frac{1}{2}\times4\times3 = 6$ in².

Step2: Calculate volume

The volume of a prism $V=A_{base}\times l$, where $l$ is the length of the prism. Here, $l = 6$ in. So, $V=6\times6=36$ in³.

Answer:

$36$ in³