Decreases 5625

How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%?
b) if the diagonal increases by 10%?

Correct answer:

p1 =  19 %
p2 =  27.1 %
p3 =  21 %
p4 =  33.1 %

Step-by-step explanation:

S = K1​ . u2 p=1−10/100=109​=0.9 q=p2=0.92=10081​=0.81 p1​=(1−q)⋅ 100=(1−0.81)⋅ 100=19%
V = K2​ . u3  p2​=(1−p3)⋅ 100=(1−0.93)⋅ 100=27.1%
k=1+10/100=1011​=1.1 p3​=(k2−1)⋅ 100=(1.12−1)⋅ 100=21%
p4​=(k3−1)⋅ 100=(1.13−1)⋅ 100=33.1%

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