
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 10th, 2009, 03:12 PM  #1 
Newbie Joined: Aug 2009 Posts: 1 Thanks: 0  Geometric ratios
How do I answer these questions? I would like the answer to so I can check the work but I need to know the steps please. 1. The volumes of two similar figures are 729 mm cubed and 2744 mm cubed. If the surface area of the larger figure is 393 mm squared what is the surface area of the smaller figure? 2. The surface area of two figures are 16 in squared and 25 inches squared. If the volume of he larger figure is 500 in cubed, what is the volume of the smaller figure? Answer must be in squared. 
August 10th, 2009, 03:44 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
1. We can determine the surface area of such figure from using the formula of , where letting an such object having volume of and surface area of , and the other object having volume of and surface area of . Let , and , because such an object has both volume of and surface area of and . Solve for by plugging in the known values .

August 11th, 2009, 12:12 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,919 Thanks: 2201 
2. Similarly, required volume = 500(16/25)^(3/2) in³, etc. (Note: cubed, not squared, since it's a volume.)


Tags 
geometric, ratios 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Trigonometric Ratios  bilano99  Trigonometry  2  November 12th, 2012 10:56 AM 
Ratios  linhbui  Elementary Math  4  August 22nd, 2012 06:24 AM 
Help with Trignometric Ratios  jattrockz  Trigonometry  5  November 10th, 2011 12:17 PM 
Ratios  MathematicallyObtuse  Algebra  3  January 9th, 2011 08:07 AM 
Ratios/fractions  MathematicallyObtuse  Algebra  4  January 1st, 2011 05:04 PM 