# Shortcut to calculate Number of Squares

31 August 2023

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While solving various Entrance tests, you may come across questions regarding calculation of number of various geometrical figures, lets learn some shortcuts and tricks to calculate the number of such geometrical figures in fraction of seconds.

Here we will learn tips and shortcuts to calculate the number of Squares-

To quickly calculate the number of squares in a grid, you can use the formula n(n+1)(2n+1)/6, where n is the number of rows or columns in the grid. This formula works by first calculating the sum of the squares of the first n natural numbers (1, 2, 3, ..., n), and then dividing that sum by 6 to find the total number of squares in the grid. For example, if the grid has 4 rows and 4 columns, the formula would be 4(4+1)(24+1)/6 = 45*9/6 = 100/6 = 16 squares.

To learn tips and shortcuts to calculate the number of Triangles visit- https://bit.ly/2WuVazn

To learn tips and shortcuts to calculate the number of Rectangles visit- https://bit.ly/2T270yG

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