A solid cube of side is melted

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid cube of side 18 cm18\,\text{cm} is melted. During the melting process 10%10\% of the material is lost. The remaining metal is cast into identical solid cubes, each of side 3 cm3\,\text{cm}. (i) Find the volume of the original cube. (ii) Calculate the volume of one small cube. (iii) Determine the number of complete small cubes that can be formed.

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