Question

Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is :
A) 144% B) 40% C) 44% D) 72.8%

Answer 1

Answer:

If it's side is increased by 20% then the increased side is a×20/100 = a/5. The surface area is increased by 144%.

Step-by-step explanation:

a option is the correct option

Answer 2

Answer:

Let a be the side of the cube. If it's side is increased by 20% then the increased side is a×20/100 = a/5.

Hence the total length of each side after increasing is a+a/5 = 6a/5

The surface area of a cube is 6a². If the side is 6a/5 then the surface area is 6×(6a5)2=3625(6a2).

percentage increase=3625(6a2)6a2×100=3625×100=144 percentage

The surface area is increased by 144%.

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