5.3 Compare Your Answers 3

Compare your answers.

Tipis protected nomadic people from the elements for years. For large families, these cone shaped dwellings often had a floor diameter of metres and a height of metres. For smaller families, these cone shaped dwellings were often reduced to having a floor diameter of 7 metres and a height of metres.

1. Determine the scale factor.
   
   
   
   The scale factor is .
    
2. Determine the surface area of the original, larger tipi including the floor.
   
   
   
   
   Determine the slant height, s, of the larger tipi using Pythagorean's Theorem.
   
   
   Determine the surface area of the original, larger tipi.
   
   
   
   The surface area of the original, larger tipi is 212.7 m².
   
   
   
   
3. What is the surface area of a tipi that has all dimensions that are half the size of the original, larger tipi?
   
   
   
   
   The surface area of the smaller tipi is approximately 53.2 m².