Answer:
Option D 868 cubic inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The volume of the bird house is equal to the volume of the pentagonal prism
step 1
Find the volume of the pentagonal prism
[tex]V=BL[/tex]
where
B is the area of the pentagonal base
L is the length of the prism
Find the area of the base B (pentagon)
Area of triangle plus area of trapezoid
[tex]B=\frac{1}{2}(12)(6)+\frac{1}{2}(10+12)8[/tex]
[tex]B=36+88=124\ in^2[/tex]
Find the volume
[tex]V=BL[/tex]
we have
[tex]B=124\ in^2\\L=7\ in[/tex]
[tex]V=124(7)=868\ in^3[/tex]
