Answer:
C. 456 cubic units
Step-by-step explanation:
The bases of this prism are two right trianles with legs 6 units and 8 units. The area of the base is
[tex]A_{base}=\dfrac{1}{2}\cdot \text{leg}_1\cdot \text{leg}_2\\ \\A_{base}=\dfrac{1}{2}\cdot 6\cdot 8=24\ un^2.[/tex]
The volume of the prism is
[tex]V=A_{base}\cdot H[/tex]
The height of the prism is 19 units, so
[tex]V=24\cdot 19=456\ un^3[/tex]
