Question

11. Sides of a cube are doubled. In what ratio will the surface area increase ?​

Answer 1

TSA of cube=

${6a}^{2}$

on doubling the side it becomes 2a....

Now substituting in the first equation,

TSAof cube=

$({6} \times 2a)^{2}$

=

${12a}^{2}$

...

Therefore we can conclude that the TSA is doubled....

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Answer 2

Let side of the cube = 10cm
Total surface area or TSA of cube = 6a squared
So, TSA of the this cube will be= 6*10 squared = 6*100
= 600cm squared
If the side are doubled,
a=2*10=20
TSA of the new cube = 6*20 squared=6*400
=2400cm squared

Hence, no the total surface area isn’t doubled but has become 4 times more


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