Cube zoom

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

Correct answer:

Δ V =  162.8 %
Δ S =  90.4 %

Step-by-step explanation:

$$\begin{gathered} \mathrm{\Delta }V=100{\displaystyle \frac{V_2-V_1}{V_1}}=100(V_2\mathrm{/}{V}_1-1) \\ \mathrm{\Delta }V=100\cdot ((1+{\displaystyle \frac{38}{100}}{)}^3-1)=162.8\mathrm{\%} \end{gathered}$$

$$\begin{gathered} \mathrm{\Delta }S=100{\displaystyle \frac{S_2-S_1}{S_1}}=100(S_2\mathrm{/}{S}_1-1) \\ \mathrm{\Delta }S=100\cdot ((1+{\displaystyle \frac{38}{100}}{)}^2-1)=90.4\mathrm{\%} \end{gathered}$$

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