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AMO · 2027 · Grades 4-5 · Self-study SET 28 Question 5

AMO

Question 5

Raziya started with the structure below, fully packed all the way to the back of the top stairs. She added similar unit cubes to form a packed staircase, 10 steps high. Each unit cube measures $1\times1\times1$ cm. The source mentions cubes filling a box with dimensions $3\times11\times10$ cm and asks for the length (width) of each step.

**Editorial interpretation for this question:** use that box volume as the TOTAL number of cubes in the final staircase, including cubes already present, not as the number added. Each step rises 1 cm and has a tread depth of 1 cm; all steps have the same width. Find that width in cm.

Question illustration

Enter one whole number, without units.