A chess board contains 64 squares of 5 cm size, in 8 rows and 8 columns, alternately black and white. What is the total length of edges (in m) between the squares in the chessboard?

Correct option is C

Solution:

Steps to Solve:

1. Chessboard details:

   • The chessboard has 8 rows and 8 columns, forming 64 squares.
   • Each square has a side length of 5 cm.

2. Internal edges:

   • In each row, there are 7 internal edges (spaces between the squares).
   • There are 8 rows, so the total horizontal edges = 7 × 8 = 56.
   • Similarly, in each column, there are 7 internal edges. With 8 columns, the total vertical edges = 7 × 8 = 56.

3. Total internal edges:Adding horizontal and vertical edges, we get 56 + 56 = 112 edges.

4. Length of each edge:Each edge is 5 cm, which is 0.05 meters.

5. Total length of edges:Multiply the total number of edges by the length of each edge:
   112 × 0.05 = 5.6 meters.

Final Answer:

S2. Ans. (c)
Sol. The total length of edges shared between the squares on the chessboard is 5.6 meters.