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The number of square shaped tin sheets ...

The number of square shaped tin sheets of side 25 cm that can be cut off from a square tin sheet of side 1 m , is :

A

4

B

40

C

16

D

400

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of square-shaped tin sheets of side 25 cm that can be cut off from a square tin sheet of side 1 m, we can follow these steps: ### Step 1: Convert the dimensions to the same unit The side of the large square tin sheet is given as 1 m. We need to convert this to centimeters since the side of the smaller tin sheet is given in centimeters. - 1 m = 100 cm ### Step 2: Calculate the area of the large square tin sheet Now that we have the side of the large square tin sheet in centimeters, we can calculate its area. - Area of the large square tin sheet = side × side = 100 cm × 100 cm = 10,000 cm² ### Step 3: Calculate the area of the smaller square tin sheet Next, we calculate the area of the smaller square tin sheet, which has a side of 25 cm. - Area of the smaller square tin sheet = side × side = 25 cm × 25 cm = 625 cm² ### Step 4: Calculate the number of smaller sheets that can be cut from the larger sheet To find out how many smaller sheets can be cut from the larger sheet, we divide the area of the large sheet by the area of the small sheet. - Number of smaller sheets = Area of the large sheet / Area of the small sheet - Number of smaller sheets = 10,000 cm² / 625 cm² = 16 ### Conclusion The number of square-shaped tin sheets of side 25 cm that can be cut off from a square tin sheet of side 1 m is **16**. ---
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Knowledge Check

  • Find the maximum length of the side of a square sheet that can be cut off from a rectangular sheet of size 8m xx 3m.

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    B
    4 m
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    A
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    B
    `(1)/(sqrt(2)+2)cm`
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    D
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