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what happens to the surface area of a cube if each of its edges is doubled?
Asked by nalina pkumar | 10 Feb, 2011, 06:37: PM
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 | 10 Feb, 2011, 10:24: PM

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