Lesson Page

Math A

Comparison of Volumes of Similar Solids 


Let's quickly review some common Volume formulas:

Rectangular Solid:

Cube:
Cylinder:
Cone:

Example:
     If the sides of a rectangular solid are tripled, what happens to the volume?

Answer:
     First, give the rectangular solid some dimensions:   

l = 1
w = 2
h = 3

Choose values that are easy to work with.  Avoid making ALL dimensions the same value.

      Next, triple these dimensions:  

l = 3
w = 6
h = 9

      Find the volumes of each solid:

162 / 6 = 27
or 
6 • 27 = 162

     The volume in multiplied by 27.

        Note:  33 = 27
     


Caldwell