SOLUTION: all areas of a cube increase by a factor of 3/2. how many times greater is the surface area. explain. how many times greater is the volume? explain
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Question 1026045: all areas of a cube increase by a factor of 3/2. how many times greater is the surface area. explain. how many times greater is the volume? explain
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
all areas of a cube increase by a factor of 3/2. how many times greater is the surface area.
It's 1.5 times the area (given).
That's 0.5 times greater, or 50% greater.
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how many times greater is the volume?
Area is a function of the square of the edge length.
(3/2)x area --> sqrt(3/2) edge length.
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Volume is a function of the cube of the edge length.
--> Volume is increased by a factor of
= Vol is times the original volume.
--> an increase of
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PS x times greater = (x+1) times as great.
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eg
Vol is 4x greater --> Vol + 4*Vol = 5*Vol
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