Question 13

A solid metallic cuboid having dimensions $$250\ \text{cm} \times 40\ \text{cm} \times 100\ \text{cm}$$ is melted and recast into a solid cube. The edge (in meter) of the cube so formed is

Solution

The volume of the cuboid is $$250 \times 40 \times 100 = 1000000\ \text{cm}^3$$. The edge of the cube is $$\sqrt[3]{1000000} = 100\ \text{cm}$$. Since $$100\ \text{cm} = 1\ \text{m}$$, the edge is 1 m.

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