What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆abc with side ab = 9 cm and altitude to that side ha= 6 cm.

volume of prism = 378 cm³

Explanation:
The volume of the right prism can be calculated as follows:
volume of prism = area of base * height of prism

1- getting the area of base:
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²

2- getting the volume:
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³

Hope this helps :)