Reduce of the volume

Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.

Correct answer:

p =  27.1 %

Step-by-step explanation:

$$\begin{gathered} p=100\cdot {\displaystyle \frac{V_1-V_2}{V_1}}=100\cdot {\displaystyle \frac{a^3-(0.9a{)}^3}{a^3}} \\ p=100\cdot {\displaystyle \frac{1-0.9^3}{1}}=27.1\mathrm{\%} \end{gathered}$$

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