Cube edges

If the edge length of the cube increases by 50%, how does the volume of this cube increase?

Correct result:

p =  3.375

Solution:

$$\begin{gathered} q=1+50\mathrm{/}100={\displaystyle \frac{3}{2}}=1{\displaystyle \frac{1}{2}}=1.5 \\ {V}_1=a^3 \\ {V}_2=(1.5a{)}^3=1.5^3{a}^3 \\ p=V_1\mathrm{/}{V}_2 \\ p=1.5^3={\displaystyle \frac{27}{8}}=3{\displaystyle \frac{3}{8}}=3.375 \end{gathered}$$

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