SOLUTION: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answe
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answe
Log On
Question 251907: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction.
-------------------------
Volume is a function of the cube of the dimensions.
1:64 volume ratio --> 1:4 dimension ratio
-------------------------------------
Surface area is a function of the square.
1:4 dimension ratio --> 1:16 surface area ratio
---------------
Area of A is 1/16 the Area of B.
