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? Can you please expre
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Question 276252: 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? Can you please express it in a common fraction?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the volumes of two similar solids, A and B, are in the ratio 64,respectively.
What is the ratio of the surface area of solid A to the surface area of solid B?
Can you please express it in a common fraction?
:
Assume they are cubes
Let x = side of the smaller
Let y = side of the larger
:
=
cross multipl
Find the cube root of both sides
y = 4x
:
Surface area ratio
Replace y with 4x
Cancel the 6
=
cancel x^2
is the surface area fraction
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