Answer:
A. [tex]256\text{ units}^3[/tex]
Step-by-step explanation:
We have been given an image of a triangular pyramid and we are asked to find the volume of our given pyramid.
We will use volume of triangular pyramid formula to solve our given problem.
[tex]\text{Volume of triangular prism}=\frac{1}{3}*A*h[/tex], where,
A = Area of triangular base,
h = Height of the pyramid.
[tex]\text{Area of the base of pyramid}=\frac{1}{2}*12*8[/tex]
[tex]\text{Area of the base of pyramid}=6*8[/tex]
[tex]\text{Area of the base of pyramid}=48[/tex]
Upon substituting our given values in volume formula we will get,
[tex]\text{Volume of triangular prism}=\frac{1}{3}*48*16[/tex]
[tex]\text{Volume of triangular prism}=16*16[/tex]
[tex]\text{Volume of triangular prism}=256[/tex]
Therefore, the volume of our given triangular pyramid is 256 cubic units and option A is the correct choice.
