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A solid metallic cuboid of length $$9\ \text{cm}$$ and width $$8\ \text{cm}$$ is formed by melting a solid metallic cube of side $$6\ \text{cm}$$. The height of the cuboid is
The volume of the cube is $$6^3 = 216\ \text{cm}^3$$, and the cuboid has the same volume. So $$9 \times 8 \times h = 216$$, giving $$h = \frac{216}{72} = 3\ \text{cm}$$.
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