Page 64 - Math Course 3 (Book 2)
P. 64

Similar Solids




        Find Missing Measures                              Find Missing Measures

                                                           The rectangular prisms below are similar. Find the
            Example                                        height of prism B.

                                                           A. 0.4 in
         The cylinders to the right are similar. Find the    B. 0.9 in
         radius of cylinder A.                             C. 2 in
                                                           D. 4.5 in
                           x
                                              8 cm

                          4.5 cm              6 cm




               Cylinder A          Cylinder B



          radius of cylinder A  =  height of cylinder A
          radius of cylinder B     height of cylinder B

             x  =   4.5   Substitute the known values.
             8     6

            6x = 8(4.5)   Find the cross products.

             6x = 36      Simplify.


              x = 6       Divide each side by 6.              Answer


                           The radius of cylinder A is 6
             Answer
                                  centimeters.




         Your Turn!


        Identify Similar Solids
         Determine whether the pair of solids is similar.  Determine whether the pair of solids is similar.















         A. yes                                            A. yes
         B. no                                             B. no
         C. They are congruent.                            C. They are congruent.
         D. cannot be determined                           D. cannot be determined


            Answer                                          Answer


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