The volume of this prism is 378
[tex] {cm}^{3} [/tex]
What is the length of x?

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,
[tex]\text{Volume of prism}=Bh[/tex]
where, B is base area and h is height of the prism.
Putting the given values, we get
[tex]378=27\times x[/tex]
Divide both sides by 27.
[tex]\dfrac{378}{27}=x[/tex]
[tex]14=x[/tex]
Therefore, the length of x is 14 cm.