For this case we have that by definition, the volume of the prism shown 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
[tex]A_ {b} = \frac {b * h} {2}[/tex]
Where:
b: It is the base of the triangle
h: It's the height of the triangle
Substituting the values:
[tex]A_ {b} = \frac {10 * 11} {2}\\A_ {b} = 55 \ cm ^ 2[/tex]
Then, the volume is:
[tex]V = 55 * 10\\V = 550 \ cm ^ 3[/tex]
ANswer:
550
