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A staircase with five steps is built from cubes; it is three cubes wide and each step is one cube deep. How many cubes are in the staircase?

Competition practiceDice & Cubes
  • A15
  • B30
  • C45
  • D75

Step-by-Step Solution

From back to front the rows are 5, 4, 3, 2 and 1 cubes high, and each row is 3 cubes wide: . (15 is one slice of the staircase.)
Answer: C) 45

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