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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

What is the minimum number of cubes of the same size required to fill a box with dimensions 30 cm by 40 cm by 50 cm?

(A) $20$ (B) $40$ (C) $60$ (D) $80$ (E) $120$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.