The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.

Answer:
15
Step-by-step explanation:
The surface of one of the triangles making the base of the prism is [tex]\frac 12 \cdot 6 \cdot 8 = 24[/tex].
At this point we can express the volume in terms of base surface and height as in [tex]360 = 24\cdot h[/tex] from which we can get the height by dividing by 24 both sides:
[tex]h= \frac{360}{24} = 15[/tex]