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12.7 Similar Solids                                                              April 12, 2013




   Bellwork                 1. If the earth has a diameter of 12,756.3 km, what is the 
                            volume of the western hemisphere?


                                                  5.43 X 10 11




       2. If the surface area of a sphere is about 1,017.876 cm 2, 
       what is the radius of the sphere?
                                        9 = r

                      3. A beach ball has a radius of 20 inches.  If the white sections were 
                      removed from the beach ball, what would the remaining volume be?  
                      (assume all sections are equal in size)


                                       22,340.2 = V




                                          Apr 12­7:33 AM

HW pg. 850 #4­22 evens                                                                            1
12.7 Similar Solids                                                April 12, 2013



     12.7 Similar Solids
              Def: 2 same type solids w/ = ratios (scale factor)




                                       Apr 12­7:39 AM

HW pg. 850 #4­22 evens                                                              2
12.7 Similar Solids                                                                            April 12, 2013
               Similar Solids Theorem: If 2 similar solids have a  scale factor of a:b, then
               corresponding areas have ratio of a2:b2 and 
               corresponding volumes have ratio of  a3:b3.




                                               Apr 12­7:44 AM

HW pg. 850 #4­22 evens                                                                                          3
12.7 Similar Solids                       April 12, 2013




                         Apr 12­7:58 AM

HW pg. 850 #4­22 evens                                     4
12.7 Similar Solids                       April 12, 2013




    12.7 HW pg. 850 #4­22 evens




                         Apr 12­7:43 AM

HW pg. 850 #4­22 evens                                     5

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12.7 notes

  • 1. 12.7 Similar Solids April 12, 2013 Bellwork 1. If the earth has a diameter of 12,756.3 km, what is the  volume of the western hemisphere? 5.43 X 10 11 2. If the surface area of a sphere is about 1,017.876 cm 2,  what is the radius of the sphere? 9 = r 3. A beach ball has a radius of 20 inches.  If the white sections were  removed from the beach ball, what would the remaining volume be?   (assume all sections are equal in size) 22,340.2 = V Apr 12­7:33 AM HW pg. 850 #4­22 evens 1
  • 2. 12.7 Similar Solids April 12, 2013 12.7 Similar Solids Def: 2 same type solids w/ = ratios (scale factor) Apr 12­7:39 AM HW pg. 850 #4­22 evens 2
  • 3. 12.7 Similar Solids April 12, 2013 Similar Solids Theorem: If 2 similar solids have a  scale factor of a:b, then corresponding areas have ratio of a2:b2 and  corresponding volumes have ratio of  a3:b3. Apr 12­7:44 AM HW pg. 850 #4­22 evens 3
  • 4. 12.7 Similar Solids April 12, 2013 Apr 12­7:58 AM HW pg. 850 #4­22 evens 4
  • 5. 12.7 Similar Solids April 12, 2013 12.7 HW pg. 850 #4­22 evens Apr 12­7:43 AM HW pg. 850 #4­22 evens 5