SOLUTION: Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is _____ as long as your friends, and it has ____ times the surface area. The ratio o

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Question 313518: Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is _____ as long as your friends, and it has ____ times the surface area. The ratio of the weight of your cube and the surface area of your cube is ___ times as large as the corresponding ratio of your friend's cube.
Answer by Alan3354(69443) About Me  (Show Source):
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Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is _____ as long as your friends, and it has ____ times the surface area. The ratio of the weight of your cube and the surface area of your cube is ___ times as large as the corresponding ratio of your friend's cube.
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Volume is a function of the cube (3rd power) of the sides
2x the weight = 2x the volume = cube root(2) times the edge length.
Surface area is a function of the square of the sides --> cube root(4) times the surface area.
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The ratio of volume to surface area = s^3/s^2 = s (side length)
for 2s, it's 8s^3/4s^2 = 2s
The ratio is a linear function of side length