Comparison Of Volume Of Similar Solids

                       Lesson 1

                                                                                                                       

                                                             Problem:                   If the sides of a cube are multiplied by 5, find the volume of the cube?

                                                             Solution                    Let the sides of the stating cube equal 2. The sides of enlarged cube will be 10(2 times 5).

                           Step 1:                      

                                      

                                                                                 Solution                          Volume for small cube V = 2 cubed = 8

                                                             Step 2:                                                                             

                                                                                 

                                                                                 Solution                          Volume for large cube V = 10 cubed = 1000                                                           

 Step 3:    

 

                                                             Solution                           Volume is multiplied by 125

 Step 4:    

 

 Solution                     The answer is:  125

 Step 5:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Do the following:                                                                                          

A.

If the sides of a cube are multiplied by 10, find the volume of the cube?

 

 

B.

In a cone, if the radius and the height are 6 times more, in what multiplication volume will increase?

 

 

                                                                                               

        

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