Given:
The area of the cross-section is 55cm².
The volume of the prism is 330cm³.
To find:
The length of the prism.
Solution:
We have,
Area of the cross-section = Area of base = 55 cm²
Volume of the prism = 330cm³.
Let x be the length(height) of the prism.
We know that,
[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]
[tex]330=55\times x[/tex]
[tex]\dfrac{330}{55}=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the prism is 6 cm.
