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20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².?
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20 cubical tin boxes each with edge 12 CM are to be made. find the cos...
Understanding the Problem
To find the cost of the sheet required to make 20 cubical tin boxes, we need to first determine the surface area of one box and then calculate the total surface area for all boxes.
Step 1: Calculate the Surface Area of One Box
- The formula for the surface area (SA) of a cube is:
SA = 6 * (edge length)²
- Given that the edge length of each box is 12 cm:
SA = 6 * (12 cm)²
SA = 6 * 144 cm²
SA = 864 cm²
Step 2: Calculate the Total Surface Area for 20 Boxes
- Total Surface Area for 20 boxes = 20 * Surface Area of one box
- Total Surface Area = 20 * 864 cm²
- Total Surface Area = 17280 cm²
Step 3: Convert Surface Area to Square Metres
- 1 m² = 10000 cm²
- Total Surface Area in m² = 17280 cm² ÷ 10000 = 1.728 m²
Step 4: Calculate the Cost of the Sheet
- Given the cost of the sheet is Rs. 130 per m²:
- Total Cost = Total Surface Area in m² * Cost per m²
- Total Cost = 1.728 m² * 130 Rs/m²
- Total Cost = Rs. 224.64
Conclusion
The total cost of the sheet required to make 20 cubical tin boxes is approximately Rs. 224.64.
To find the cost of the sheet required to make 20 cubical tin boxes, we need to first determine the surface area of one box and then calculate the total surface area for all boxes.
Step 1: Calculate the Surface Area of One Box
- The formula for the surface area (SA) of a cube is:
SA = 6 * (edge length)²
- Given that the edge length of each box is 12 cm:
SA = 6 * (12 cm)²
SA = 6 * 144 cm²
SA = 864 cm²
Step 2: Calculate the Total Surface Area for 20 Boxes
- Total Surface Area for 20 boxes = 20 * Surface Area of one box
- Total Surface Area = 20 * 864 cm²
- Total Surface Area = 17280 cm²
Step 3: Convert Surface Area to Square Metres
- 1 m² = 10000 cm²
- Total Surface Area in m² = 17280 cm² ÷ 10000 = 1.728 m²
Step 4: Calculate the Cost of the Sheet
- Given the cost of the sheet is Rs. 130 per m²:
- Total Cost = Total Surface Area in m² * Cost per m²
- Total Cost = 1.728 m² * 130 Rs/m²
- Total Cost = Rs. 224.64
Conclusion
The total cost of the sheet required to make 20 cubical tin boxes is approximately Rs. 224.64.
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20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².?
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20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².?.
20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 cubical tin boxes each with edge 12 CM are to be made. find the cost of the sheet required at the rate of rupees 130 per metre².?.
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