Respuesta :

Answer:

The volume of the prism is [tex]247.5\ mm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base  of the prism

h is the height of the prism

we have

[tex]B=45\ mm^{2}[/tex]

[tex]h=5\frac{1}{2}\ in=\frac{5*2+1}{2}=\frac{11}{2}\ in[/tex]

substitute the values and solve for V

[tex]V=(45)(\frac{11}{2})=247.5\ mm^{3}[/tex]