To determine how many 1 cm squares are required to construct a square that is 1 meter on each side, we first need to understand the dimensions involved.
A meter is equivalent to 100 centimeters. Therefore, a square that is 1 meter (or 100 cm) on each side will have the following dimensions:
- Side length: 100 cm
Next, we calculate the area of this square:
- Area of the large square = (side length)² = (100 cm)² = 10,000 cm²
Now, we need to find the area of a single 1 cm square:
- Area of a 1 cm square = (1 cm)² = 1 cm²
To find out how many 1 cm squares fit into the larger square, we divide the area of the large square by the area of a 1 cm square:
- Number of 1 cm squares = (Area of large square) / (Area of 1 cm square) = 10,000 cm² / 1 cm² = 10,000
Thus, it would take 10,000 1 cm squares to construct a square that is 1 meter on each side.