Question

A birdhouse is constructed of a rectangular prism with a square base and a square pyramid at the top of the house. If a student wanted to put a fence around the entire birdhouse to see all of the animals, determine how square feet of fence would be required to make the fence.

Answer 1

The area of fence needed is the area of the upper pyramid plus the area of the square prism. That is:

`A\text{ = Pyramid area + rectangular prism area}`

the area of a Pyramid is given by the following formula:

and the area of the rectangular prism is:

A = 2lw +2lh+2wh

where

l is the lenght, h is the height and w is the width

Thus, using the data from the problem and the equations above, we can conclude that:

`A\text{ = Pyramid area + rectangular prism area}=340+3200=3540`

so that, the correct answer is:

`3540`