Answer: 3
the volume of the prism with triangular base is 54 unit³The base is a triangle with,base = 4 unitsheight = x unitsheight of the prism = 3x So, volume of the prism is, And Then, the volume is given as 54 unit³, so, 6x^2 =54, x^2 =9, and x=3.
The value of x is 3.
We have given that,
The volume of the prism with triangular base is 54 unit³.
The base is a triangle with,
base = 4 units
height = x units
height of the prism = 3x
[tex]V=6x^2[/tex]
The volume= 54 unit³,
Therefore we get,
6x^2 =54,
divide both side by 6
x^2=54/6
x^2 =9
Thaking square root on both side we get,
x=3.
Therefore ,The value of x is 3.
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