A metallic cuboid measuring 12cm x 9cm x 2cm is melted and cast into a cube. find the length of each edge of the cube.
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Let the side length of the cube be x
Then, Volume of cube = Volume of cuboid
![{x}^{3} = 12 \times 9 \times 2 = 216 \\ x = \sqrt[3]{216} = 6 \: cm](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B3%7D++%3D+12+%5Ctimes+9+%5Ctimes+2+%3D+216+%5C%5C+x+%3D++%5Csqrt%5B3%5D%7B216%7D++%3D+6+%5C%3A+cm "{x}^{3} = 12 \times 9 \times 2 = 216 \\ x = \sqrt[3]{216} = 6 \: cm")
Then, Volume of cube = Volume of cuboid
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