Question

Sides of a cube are doubled.in what ratio will the surface area increased

Answer 1

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Question: Sides of a cube are doubled.in what ratio will the surface area          increased?

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Answer:-

• Let the side of the cube before doubling be 'a'  

               Total surface area of the cube = 6a²

• (Doubling the side of the cube)  side = 2a

 Total surface area of cube with side doubled = 6 × (2a)²

                                                                             =  6 × 4 × a²

                                                                             = 24a²

• ratio of surface areas before and after doubling side :-

                                      6a² : 24a²

                                  =      6 : 24

                                  =       1 : 4

∴ When the sides of cube are doubled the surface area increases by 4 times the original surface area

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