bewellplus.gsu.edu
maspejeenahogir maspejeenahogir
  • 18-10-2015
  • Mathematics
Answered

It takes 6 cubes to build a staircase with 3 steps.how many cubes will be needed for 11steps

Verified Answer :

konrad509
konrad509 konrad509
  • 18-10-2015

1 step - 1 cube
2 steps - 3 cubes
3 steps - 6 cubes
etc.

The number of cubes needed for a staircase with \(n\) steps is equal to \(1+2+3+\ldots+n\).

So, if \(n=11\)
the number of cubes is \(1+2+3+4+5+6+7+8+9+10+11=55\)

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