Respuesta :

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.