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]