Answer:

Explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
![\rm\displaystyle V _{ \text{prism}} = [\text{base area}] * l](https://img.qammunity.org/2022/formulas/mathematics/high-school/qgmkddag04gw5tk9p783gf62y1n2nbbore.png)
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
![\rm\displaystyle V _{ \text{prism}} = [(1)/(2)* b* h] * l](https://img.qammunity.org/2022/formulas/mathematics/high-school/4gahzjprv80hugmz63xy6l0u6fse6ia1u2.png)
substitute
![\rm\displaystyle V _{ \text{prism}} = [(1)/(2)* 9 * 15]* 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/dpq7jeewh7h6qfq8j0rq9jj6nhk5iff5ne.png)
remove parentheses:

reduce fraction:

simplify multiplication:

hence, the Volume of the given prism is 270cm³