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 answer as
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Question 257144: 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 answer as 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 1:64, respectively.
What is the ratio of the surface area of solid A to the surface area of solid B? Express answer as a common fraction.
:
Use cubes for simplicity, with sides, x & y
=
y^3 = 64x^3
Cube root of both sides
y = 4x
:
Surface area
Cancel 6
Replace y with 4x
= =
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