Question

1 What is the volume of the bird house shown below?

Answer 1

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

$V=BL$

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

$B=\frac{1}{2}(12)(6)+\frac{1}{2}(10+12)8$

$B=36+88=124\ in^2$

Find the volume

$V=BL$

we have

$B=124\ in^2\\L=7\ in$

$V=124(7)=868\ in^3$