Increases 14471

How many percent will it increase
a) surface
b) cube volume
if the edge of the cube increases by 25%?

Correct answer:

p1 =  56.25 %
p2 =  95.3125 %

Step-by-step explanation:

p=25 % q=1+p/100=1+25/100=45​=1.25  S0​ = 6a2  S1​ = 6(qa)2 = 6a2 ⋅  q2 = S0​ ⋅  q2  p1​ = 100 ⋅  S0​S1​−S0​​  p1​ = 100 ⋅   S0​S0​⋅ q2−S0​​  p1​=100⋅ (q2−1)=100⋅ (1.252−1)=4225​%=56.25%
V0​ = a3 V1​ = (qa)3 = q3a3 = q3⋅  V0​ p2​ = 100 ⋅  V0​V1​−V0​​ = 100 ⋅  V0​V0​⋅ q3−V0​​  p2​=100⋅ (q3−1)=100⋅ (1.253−1)=161525​%=95.3125%

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