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the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq).
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the internal length,breadth and height of an open box are 95 cm,75cman...
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the internal length,breadth and height of an open box are 95 cm,75cman...
Given:
- Internal length of the box = 95 cm
- Internal breadth of the box = 75 cm
- Internal height of the box = 82 cm
- Thickness of the wood = 2.5 cm
To find:
- Cost of painting the outside of the box
Approach:
To find the cost of painting the outside of the box, we need to calculate the surface area of the outside of the box and then multiply it by the cost per square dm.
Calculation:
1. Calculate the external dimensions of the box:
The external length of the box would be the sum of the internal length and twice the thickness of the wood on both sides:
External length = Internal length + 2 * Thickness = 95 + 2 * 2.5 = 100 cm
Similarly, we can calculate the external breadth and external height:
External breadth = Internal breadth + 2 * Thickness = 75 + 2 * 2.5 = 80 cm
External height = Internal height + 2 * Thickness = 82 + 2 * 2.5 = 87 cm
2. Calculate the surface area of the outside of the box:
The surface area of the outside of the box can be calculated by adding the areas of the six faces of the box.
- Top and bottom faces: The top and bottom faces are rectangles with dimensions of external length and external breadth, so their combined area is 2 * (External length * External breadth).
- Front and back faces: The front and back faces are rectangles with dimensions of external length and external height, so their combined area is 2 * (External length * External height).
- Left and right faces: The left and right faces are rectangles with dimensions of external breadth and external height, so their combined area is 2 * (External breadth * External height).
Therefore, the total surface area of the outside of the box is:
Total surface area = 2 * (External length * External breadth) + 2 * (External length * External height) + 2 * (External breadth * External height)
Substituting the calculated values:
Total surface area = 2 * (100 * 80) + 2 * (100 * 87) + 2 * (80 * 87) cm²
3. Convert the surface area to dm² and calculate the cost:
Given that 100 cm² = 1 dm², we can convert the surface area to dm² by dividing it by 100.
Surface area in dm² = Total surface area / 100
Finally, to calculate the cost of painting the outside of the box, we multiply the surface area in dm² by the cost per dm², which is 1 Rupee.
Cost of painting = Surface area in dm² * Cost per dm²
Substituting the calculated values, we can find the cost of painting the outside of the box.
- Internal length of the box = 95 cm
- Internal breadth of the box = 75 cm
- Internal height of the box = 82 cm
- Thickness of the wood = 2.5 cm
To find:
- Cost of painting the outside of the box
Approach:
To find the cost of painting the outside of the box, we need to calculate the surface area of the outside of the box and then multiply it by the cost per square dm.
Calculation:
1. Calculate the external dimensions of the box:
The external length of the box would be the sum of the internal length and twice the thickness of the wood on both sides:
External length = Internal length + 2 * Thickness = 95 + 2 * 2.5 = 100 cm
Similarly, we can calculate the external breadth and external height:
External breadth = Internal breadth + 2 * Thickness = 75 + 2 * 2.5 = 80 cm
External height = Internal height + 2 * Thickness = 82 + 2 * 2.5 = 87 cm
2. Calculate the surface area of the outside of the box:
The surface area of the outside of the box can be calculated by adding the areas of the six faces of the box.
- Top and bottom faces: The top and bottom faces are rectangles with dimensions of external length and external breadth, so their combined area is 2 * (External length * External breadth).
- Front and back faces: The front and back faces are rectangles with dimensions of external length and external height, so their combined area is 2 * (External length * External height).
- Left and right faces: The left and right faces are rectangles with dimensions of external breadth and external height, so their combined area is 2 * (External breadth * External height).
Therefore, the total surface area of the outside of the box is:
Total surface area = 2 * (External length * External breadth) + 2 * (External length * External height) + 2 * (External breadth * External height)
Substituting the calculated values:
Total surface area = 2 * (100 * 80) + 2 * (100 * 87) + 2 * (80 * 87) cm²
3. Convert the surface area to dm² and calculate the cost:
Given that 100 cm² = 1 dm², we can convert the surface area to dm² by dividing it by 100.
Surface area in dm² = Total surface area / 100
Finally, to calculate the cost of painting the outside of the box, we multiply the surface area in dm² by the cost per dm², which is 1 Rupee.
Cost of painting = Surface area in dm² * Cost per dm²
Substituting the calculated values, we can find the cost of painting the outside of the box.
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the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq).
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the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq). 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 the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq). covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq)..
the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq). 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 the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq). covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the internal length,breadth and height of an open box are 95 cm,75cmand 82cm,respectively. if the wood is 2.5 cm thick, find the cost of painting the outside of the box At rupees 1per dm square (100cmsquare =1dm sq)..
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