How many 1-cm squares would it take to construct a square that is 3 m on each side?

Solution:

Given 1-cm squares

As we know that 1m = 100cm

3m = 300cm

Area of square will be equal to the total area of small squares.

Area of square with 300 cm side = (side)²

= (300 cm)²

= 90,000 cm²

We need ‘n’ number of squares with a length of 1 cm to construct a square that is 3 m on each side.

The area of one small square of length 1 cm is 1 cm².

Area of one square with edge 1 cm × n = Area of the square with edge 3 m

⇒ 1 cm² × n = 90,000 cm²

⇒ n = 90,000

Thus, to construct a square of 3m on each side 90,000 squares of 1 cm on each side are needed.

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How many 1-cm squares would it take to construct a square that is 3 m on each side?

Summary:

We need 90,000 of 1-cm squares to construct a square that is 3 m on each side.