Father constructed a doghouse with a roof whose face all triangles and square base. 7) Roof of the dog house 8) Body of the dog house
The Correct Answer and Explanation is :
Correct Answers:
- Roof of the doghouse: The roof of the doghouse consists of two triangular faces. These are formed by the sloping sides of the roof that meet at the top.
- Body of the doghouse: The body of the doghouse consists of a square base and rectangular sides. These rectangular sides are the walls of the doghouse.
Explanation:
A doghouse with a roof made of triangular faces and a square base is an example of a simple 3D structure, often resembling a basic gable-roof design.
Roof of the Doghouse (Triangular Faces):
- The roof typically consists of two triangular faces.
- These triangles meet at the top ridge, forming the slope of the roof.
- The triangular faces help in shedding water and snow, keeping the interior dry and comfortable for the dog.
- Mathematically, these triangles can be described as isosceles triangles if the two sloping sides of the roof are of equal length.
Body of the Doghouse (Square Base and Rectangular Sides):
- The base of the doghouse is a square, forming the foundation of the structure.
- The sides of the doghouse are rectangular, serving as walls. Usually, one of these walls (often a rectangle) will have a cut-out section to serve as the entrance for the dog.
- The combination of rectangular and triangular faces provides stability to the structure.
Importance of this Design:
This design is simple, practical, and efficient. It allows for easy construction using basic geometric shapes like triangles, rectangles, and squares. Additionally, the sloping roof design ensures durability by protecting the interior from external elements like rain or snow, making it a popular choice for doghouses.