Respuesta :

Given : measurements of sides of prism a = 11 , b=5 , c=8

To find: Volume of prism

Solution:

Volume of triangular prism = area of triangle x height of the prism

let height of prism = b

area of triangle =

[tex]\begin{gathered} \frac{1}{2}\times base\times height \\ =\frac{1}{2}\times c\times a \\ =\frac{1}{2}\times8\times11 \\ =44 \end{gathered}[/tex]

Now, volume of prism =

[tex]\begin{gathered} =44\times5 \\ =220 \end{gathered}[/tex]

Hence, volume of the givne triangular prism is 220

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