By what percent the volume of a cube increases if the length of each edge was increased by 50%? · ABC26GN4880

Let original edge $=a$. Then, original volume $=a^{3}$. New edge $=\frac{150}{100} a=\frac{3 a}{2}$. New volume $=\left(\frac{3 a}{2}\right)^{3}=\frac{27 a^{3}}{8}$. Increase in volume $=\left(\frac{27 a^{3}}{8}-a^{3}\right)=\frac{19 a^{3}}{8}$. $$\text { ∴ } \text { Increase } \%=\left(\frac{19 a^{3}}{8} \times \frac{1}{a^{3}} \times 100\right) \%=237.5 \% .$$