SOLUTION: The areas of two similar tetrahedrons are 24 sq in and 96 sq in. Find the ratio of their volumes

Algebra ->  Volume -> SOLUTION: The areas of two similar tetrahedrons are 24 sq in and 96 sq in. Find the ratio of their volumes      Log On


   



Question 1021150: The areas of two similar tetrahedrons are 24 sq in and 96 sq in. Find the ratio of their volumes
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The areas of two similar tetrahedrons are 24 sq in and 96 sq in. Find the ratio of their volumes
-----------
Area is a function of the square of side lengths.
24:96 = 1:4
--> side ratio is 1:2
======================
Volume is a function of the cube of side lengths.
--> Volume ratio is 1:8