The surface area

How much percent will the surface area of a 4x5x8 cm block increase if the length of the shortest edge is increased by 2 cm?

Correct result:

p =  28.2609 %

Solution:

a=4 cm b=5 cm c=8 cm  a1=2+a=2+4=6 cm  S1=2⋅ (a⋅ b+b⋅ c+c⋅ a)=2⋅ (4⋅ 5+5⋅ 8+8⋅ 4)=184 cm2 S2=2⋅ (a1⋅ b+b⋅ c+c⋅ a1)=2⋅ (6⋅ 5+5⋅ 8+8⋅ 6)=236 cm2  p=100⋅ S2−S1S1=100⋅ 236−184184=65023=28.2609%

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