Two similar solids have a scale factor or 6:7 . What is ratio of their volumes, expressed in lowest terms?
1 Answer
Mar 13, 2018
216:343
Explanation:
Since it is asking for their volume ratio, you have to put the ratio to the third power to find the volume ratio between the solids. The reason you do this is that volume is a 3-dimensional measurement. By raising it to the third power, you are putting into the 3-dimensional sense. Another way to look at this is by looking at measurement units. For one dimensional measurement, you have inches and centimeters. For two dimensional measurement, you have squared inches and squared centimeters. For three dimensional measurement, you have cubic inches and cubic centimeters.
