For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b}[/tex]: It is the area of the base
h: It's the height
Substituting:[tex]V = 6 * 6 * 6\\V = 216 \ units ^ 3[/tex]
The volume of the pyramid is given by:
[tex]V = \frac {1} {3} * L ^ 2 * h[/tex]
Where:
[tex]L ^ 2:[/tex]It is the area of the base
h: It's the height
Substituting:
[tex]V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3[/tex]
We add and we have:
[tex]V = 276 \ units ^ 3[/tex]
ANswer:
Option D
