Answer:
Option A
Volume of prism is, 180 cubic unit
Step-by-step explanation:
From the given figure , we have
The length of triangular prism [tex]l[/tex] is 6 unit .
Since in the triangular cross-section we have the base (b) equals to 5 unit and the height (h) equals to 12 unit.
Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross section has base b units and height h units, then,
Volume(V) of the triangular prism in cubic unit is given by;
[tex]V = \frac{1}{2} bhl[/tex]
Putting the values of [tex]l=6[/tex] unit , b=5 unit and h = 12 unit.
⇒ [tex]V =\frac{1}{2} \cdot 5 \cdot 6 \cdot 12[/tex]
on solving we get;
[tex]V = 180 unit^3[/tex]
therefore, the volume of prism is, 180 cubic unit.
