Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,
[tex]Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2[/tex]
Then,
[tex]V_{Prism}=2x\times 3x=6x^2[/tex]
As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
