if each edge of a cube is doubled, how many times will its surface area increased ?
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Answer:
no it will decrease
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ANSWER 4 TIMES.
STEP TO STEP EXAPLANITION
The answer is 4.
As questions like this seem recurrent it is maybe time to see it from another angle. Suppose you have an irregular 3D object with:
surface ()
a volume ()
a curve on the surface with length ()
Now introduce unit a=m/2 and use it to measure
We did not change the 3D object, so:
For any curve on the surface,
The surface is now
The volume is now
It does not matter what the shape of the object is, when you double the lengths (by making it bigger or by using another scaled unit), you always get the same scaled results.
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