if each side of a cube is increased by 50% find the percentage increases in its surface area.
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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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Let side of cube=2
Surface Area=6side^2=6×2^2=24
Increase in side=50%of 2=1
Side of new cube=2+1=3
Surface Area=6side^2=6×3^2=54
Increase in Surface Area=54-24=30
increased percentage=30/24×100=125%
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