A solid catalyst is finely divided to increase its surface area. If a total surface area of is required for a gaseous reaction, how many sequential splits must be made to a solid cube of exactly lengt

Question

A solid catalyst is finely divided to increase its surface area. If a total surface area of $6291456 	ext{ cm}^2$ is required for a gaseous reaction, how many sequential splits must be made to a solid cube of exactly $1 	ext{ cm}$ length to achieve this? (Assume 1 split yields 8 equal cubes).

Prashant Kotian · Accepted Answer

Correct answer: C. The surface area of a cube after splits ( total cubes) is given by . Equating , we get . Since , exactly 20 splits are required.

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