How many squares of all sizes can be formed in a 3x3 grid of equal unit squares?

Step-by-step solution

1. Count the number of 1×1 squares: a 3×3 grid has $3\times 3=9$ unit squares.
2. Count the number of 2×2 squares: a 2×2 square can be placed in $2\times 2=4$ positions.
3. Count the number of 3×3 squares: the whole grid itself is one 3×3 square.
4. Add the three totals: $9+4+1=14$.
5. The answer is the total number of squares present.

Concept tested: Counting squares in a grid

Published 1 October 2026 · How this solution was prepared and checked