find the number of squared tin sheet of side 30 cm, that can be cut off from a square tin sheet of side 1.5 m. Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7

Question

find the number of squared tin sheet of side 30 cm, that can be cut off from a square tin sheet of side 1.5 m. Related:  NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7

Answer

Problem:

Find the number of squared tin sheets of side 30 cm that can be cut off from a square tin sheet of side 1.5 m.

Solution:

To find the number of squared tin sheets of side 30 cm that can be cut off from a square tin sheet of side 1.5 m, we need to determine the area of both the square tin sheet and the smaller squared tin sheet.

1. Area of the square tin sheet:
The side of the square tin sheet is given as 1.5 m. The formula to find the area of a square is side * side. Therefore, the area of the square tin sheet is 1.5 m * 1.5 m = 2.25 square meters (m²).

2. Area of the smaller squared tin sheet:
The side of the smaller squared tin sheet is given as 30 cm. We need to convert the side to meters to ensure the units are consistent. Since 1 meter = 100 centimeters, the side of the smaller squared tin sheet is 30 cm / 100 cm/m = 0.3 m. The formula to find the area of a square is side * side. Therefore, the area of the smaller squared tin sheet is 0.3 m * 0.3 m = 0.09 square meters (m²).

3. Number of squared tin sheets:
To find the number of squared tin sheets that can be cut off from the larger square tin sheet, we need to divide the area of the larger square tin sheet by the area of the smaller squared tin sheet.

Number of squared tin sheets = Area of larger square tin sheet / Area of smaller squared tin sheet
Number of squared tin sheets = 2.25 m² / 0.09 m²
Number of squared tin sheets = 25

Therefore, 25 squared tin sheets of side 30 cm can be cut off from a square tin sheet of side 1.5 m.

Answer

20

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