what happens to the surface area of a cube if each of its edges is doubled?

Asked by nalina pkumar | 10th Feb, 2011, 06:37: PM

Expert Answer:

Dear student,
 
Let the edge of the original cube be a.

Surface area of original cube = 6a2                    ... (1)                     

When the edge of the cube is doubled, the edge of the new cube becomes 2a.

So, Surface area of new cube = 6(2a)2 = 24a2 = 4(6a2)                      

Thus, if the edge of a cube is doubled, then its surface area becomes four times the original surface area. 

We hope that clarifies your query.
 
Regards,
Team
TopperLearning

Answered by  | 10th Feb, 2011, 10:24: PM

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