From the dilution law
C1_{1}1V1_{1}1 = C2_{2}2V2_{2}2
C1_{1}1 = Initial Concentration of NaOH = 0.6M
V1_{1}1 = Initial Volume of NaOH = 300cm3
C2_{2}2 = Final Concentration of NaOH = 0.4M
V2_{2}2 = Final Volume of NaOH = ?
V2_{2}2 = C1V1C2\frac{C_1V_1}{C_2}C2C1V1
V2_{2}2 = 0.6×3000.4\frac{0.6 \times 300}{0.4}0.40.6×300
V2_{2}2 = 450 cm3^{3}3
Correct Computation as it follows the equation specified