The area is the combination of the triangle and rectangle. Then the volume of the completed bird feeder is 336 cubic inches.
What is a pentagonal prism?
A pentagonal prism is a closed solid that has two parallel pentagon bases connected by a rectangle surface.
There is a diagram of the base of a bird feeder which is in the shape of a pentagonal prism.
Each small square on the grid is 1 square inch.
The distance between the two bases is 8 inches.
The volume of the completed bird feeder will be
Volume = Length × Area
The area is the combination of the triangle and rectangle.
Area = area of a triangle + area of a rectangle
Then the area of the triangle will be
[tex]\rm Triangle \ area = \dfrac{1}{2} \times 6 \times 4\\\\Triangle \ area = 12 \ in^2[/tex]
Then the area of the rectangle will be
[tex]\rm Rectangle \ area = 6 \times 5\\\\Rectangle \ area = 30 \ in^2[/tex]
Then the area will be
Area = 12 + 30
Area = 42 in²
Then the volume of the bird feeder will be
Volume = 8 × 42
Volume = 336 in³
More about the pentagonal prism link is given below.
https://brainly.com/question/21308574
