The volume of this prism is 378 {cm}^(3) What is the length of x? ​

Question

The volume of this prism is 378


`{cm}^(3)`
What is the length of x? ​

Answer 1

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,

`\text{Volume of prism}=Bh`

where, B is base area and h is height of the prism.

Putting the given values, we get

`378=27* x`

Divide both sides by 27.

`(378)/(27)=x`

`14=x`

Therefore, the length of x is 14 cm.