Given:
Base area of a prism = 27 cm²
Height of the prism = x cm
Volume of the prism = 378 cm³
To find:
The length of x.
Solution:
We know that,

where, B is base area and h is height of the prism.
Putting the given values, we get

Divide both sides by 27.


Therefore, the length of x is 14 cm.