Library / /439 of 475

, 2002

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

A rectangular block, with dimensions 4 cm, 5 cm and 6 cm, is made up of cubes each with side length 1 cm. If $1\text{ cm}^3$ cubes are removed from this larger rectangular block, what is the minimum number of these cubes that must be removed so that the resulting solid is itself a cube?

(A) $40$ (B) $93$ (C) $46$ (D) $64$ (E) $56$

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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.