Question

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

units. Find the height of the prism.

Answer 1

15

Explanation:

The surface of one of the triangles making the base of the prism is
`\frac 12 \cdot 6 \cdot 8 = 24`.

At this point we can express the volume in terms of base surface and height as in
`360 = 24\cdot h` from which we can get the height by dividing by 24 both sides:

`h= (360)/(24) = 15`