Respuesta :

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

[tex]Volume = \frac{1}{2}* b * h * l[/tex]

Where

[tex]b = base[/tex]

[tex]h = height[/tex]

[tex]l = length[/tex]

Take for instance:

[tex]b = 20cm[/tex]

[tex]h = 10cm[/tex]

[tex]l = 5cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 20cm * 10cm * 5cm[/tex]

[tex]Volume = 10cm * 10cm * 5cm[/tex]

[tex]Volume = 500cm^3[/tex]

Another instance (see attachment).

From the attachment:

[tex]b = 4.5cm[/tex]

[tex]h = 5cm[/tex]

[tex]l = 8cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm[/tex]

[tex]Volume = 2.25cm * 5cm * 8cm[/tex]

[tex]Volume = 90cm^3[/tex]

Ver imagen MrRoyal
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