Question

Each edge of a cube is increased by 50%. Find the
percentage increase in the total surface area.​

Answer 1

Answer:

Let the original side be a then

Original surface area S=6a

2

When side is increased by 50%, side becomes

2

3

a then

Surface area s=

2

27

a

2

Hence,

Surface area is increases by x=

6a

2

2

27

a

2

−6a

2

×100=125%

This is the required solution.

Step-by-step explanation:

After 50% increase, each edge of the cube becomes 150/100 of the original. Thus, the surface area of the cube becomes (150/100)^2 = 225/100 of the original. Hence, increase in perecentage of surface area = (225-100) = 125%

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