How many 1-cm squares would it take to construct a square that is 3 m on each side?
The space occupied by an object is the area of the object.
Answer: To construct a square of 3m on each side, 90000 squares of 1cm on each side are needed.
Let's find the number of squares required.
As we know that 1 m = 100 cm
3 m = 300 cm
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