The volume of the cuboid equals the volume of the cube.<br><br>Volume of cube = 30&sup3; = 27000 cm&sup3;.<br>Volume of cuboid = 24 × w × 15 = 360w.<br><br>360w = 27000<br>w = 27000 ÷ 360 = 75 cm.<br><br>Final Answer: 75 cm