Question

sides of a cube are doubled. In what ratio will the surface area increase?

Answer 1

Let the initial side be x
Surface area =6x^2
Now side length is doubled
So surface area=(2x)^2×6
Ratio=4:1
Therefore the new surface area will be quadrapuled

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Answer 2

Let the length of the edge of the cube be 'x' cm.............................
 Total surface area = 6x2 cm2

Increased length of the edge = 2x
Total surface area = 6(2x)2 cm2 = 24x2 cm2

If the edge of the cube is doubled surface area of the cube increases by 4 times.

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