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 10,000 squares of 1cm2 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.
(side)2 = (side)2
(3m)2 = (300 cm)2
9m2 = 90,000 cm2
To find the number of squares needed to construct the big square, we will divide the area of the big square to the area of small squares.
Number of squares = 90,000 ÷ 9
Number of small squares needed = 10,000