Geometry: An Interactive Journey to Mastery

Solutions

Lesson 24

1. D௘ͽ k^2  JLYHV k = 2.
   E௘ͽ k^2 = 12 gives k 2.
   F௘ͽ k^2 = 3 gives k 12.


2. k = 200.
   D௘ͽ 2211 k^2 2002 20, 000 gallons.
   E௘ͽ^33
   3

2 2 200 16, 000, 000 cubic feet

16, 000, 000^13 592592.6 cubic yards.

k

|§· ̈ ̧©¹

3. 3 k^3 = 375 gives k = 5.
   D௘ͽ k^2 = 25.
   E௘ͽ k^2 = 25.
   F௘ͽ k = 5.


4. k 
   Equators are lengths and have ratio k 
   Surface areas have ratio k^2 = 16.
   Volumes have ratio k^3 


5. D௘ͽ 
   E௘ͽ k^2  ͼ௘௘ͽ^2  
   F௘ͽ ©¹ ̈ ̧§· 121 2 |