Respuesta :

The volume of a triangular prism is given by the following expression:

[tex]V=A_{\text{base}}\cdot h[/tex]

Where V is the volume, Abase is the area of the base and h is the height of the prism. For this prism the base has a rectangular shape, so it can be calculated as shown below:

[tex]A_{\text{base}}=\text{length}\cdot\text{width}=18\cdot12=216cm^2[/tex]

Using this value on the first expression:

[tex]V=216\cdot9=1944cm^3[/tex]

The correct option is A.

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