Respuesta :

[tex]Volume=594cm^3[/tex]

Explanation

Step 1

as this is a equilateral triangle, every side measures 9 cm

so, the volume of the prism is

[tex]\begin{gathered} \text{Volume}=\text{area of the trianlge}\cdot length \\ \text{Volume}=(\frac{base\cdot hegith}{2}\cdot\text{length)} \end{gathered}[/tex]

then,Let

base=9 cm

heigth=6 cm

length=22 cm

now, replace.

[tex]\begin{gathered} \text{Volume}=(\frac{base\cdot hegith}{2}\cdot\text{length)} \\ \text{Volume}=(\frac{9cm\cdot6\text{ cm}}{2}\cdot\text{22 cm)} \\ \text{Volume}=(\frac{54cm^{^2}}{2})\cdot22 \\ Volume=594cm^3 \\ \end{gathered}[/tex]

I hope this helps you

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