Cube zoom

How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?

Correct result:

Δ V =  162.8 %
Δ S =  90.4 %

Solution:

ΔV=100V2V1V1=100(V2/V11) ΔV=100((1+38100)31)=162.8%\Delta V = 100 \dfrac{V_2-V_1}{V_1} = 100 ( V_2/V_1-1) \ \\ \Delta V = 100\cdot ( (1+\dfrac{ 38}{100})^3-1) = 162.8 \%
ΔS=100S2S1S1=100(S2/S11) ΔS=100((1+38100)21)=90.4%\Delta S = 100 \dfrac{S_2-S_1}{S_1} = 100 ( S_2/S_1-1) \ \\ \Delta S = 100\cdot ( (1+\dfrac{ 38}{100})^2-1) = 90.4 \%



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