Thu February 10, 2011 By: Nalina Pkumar

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

Expert Reply
Thu February 10, 2011
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.
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