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

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