when sheet size 10m*5m cut into small pieces of 25cm *20 cm. how many number of pieces will be cut
Answers
Step-by-step explanation:
When a sheet the size of 10m×5m is cut into small pieces to the size of 25cm×20cm, how many number of pieces will be cut?
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How many 25cm×20cm pieces can you cut from a 10m×5m sheet?
Here’s one strategy you can use:
First, convert meters to centimeters
There are 100 cm in one meter, so
multiply meters by 100 to get similar units
Out problem now reads:
How many 25cm×20cm pieces can you cut from a 1000cm×500cm sheet?
Now, the problem is much simpler. There are at least two strategies that we could use to solve this problem:
ONE:
Calculate the area of the full sheet: 1000cm × 500cm = _______cm²
Calculate the area of one piece: 25cm × 20cm = ______ cm²
Divide one number by the other to get your answer.
Note: This method only works if the sheet’s width and height are integer multiples of a piece’s width and height.
TWO:
Calculate how many piece widths there are in one sheet width:
1000 ÷ 25 = _____ widths
Calculate how many piece heights there are in one sheet height:
500 ÷ 20 = ____ heights
Multiply these two numbers together
Either way, you should get the same answer. What answer did you get?
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The original sheet (10m x 5m) contains 50 sq meters of material.
Each sq meter can be cut into 20 (=100/25 x 100/20) pieces 25 cm by 20 cm.
50 sq meters x 20 pieces/sq meter = 1,000 pieces.