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, 2008

Geometry Difficulty 2.0 Junior Find the answer Canada

The surface area of a large cube is 5400 cm $^2$ . This cube is cut into a number of identical smaller cubes. Each smaller cube has a volume of 216 cm $^3$ . How many smaller cubes are there?

(A) $25$ (B) $125$ (C) $164$ (D) $180$ (E) $216$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.