Find the number of squares in the given figure.
To determine the total number of squares in the given figure, we can count the squares of different sizes.
- First, count the number of 1x1 squares:
- There are 16 small squares (1x1) as the figure is a 4x4 grid of smallest squares.
- Next, count the number of 2x2 squares:
- A 4x4 grid can contain 9 squares of size 2x2.
- Then, count the number of 3x3 squares:
- A 4x4 grid can contain 4 squares of size 3x3.
- Finally, count the number of 4x4 squares:
- There is only 1 square of size 4x4, which is the largest square covering the whole grid.
Adding these all together gives us the total number of squares:
\(16 + 9 + 4 + 1 = 30\)
Therefore, the correct answer is 30.
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Important Questions from Figure Counting
How many triangles can be found out from the following figure:
Which symbol will appear on the face opposite to the face of a circle O in the cube given below?
- Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
Statement:I Some bags are pockets.
Statement:II No pocket is a pouch.
Conclusion: I Some bags are not pouches.
Conclusion: II Some pockets are bags. How many rectangles can you see in the figure?
Find the number of triangles in the given figure:
