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The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth?
Most Upvoted Answer
The cross-section of a canal is in the form of a trapezium.If the top ...
Let the depth be d
area of trapezium = 1/2( 15 + 8 ) d
= 1/2 x 23 x d
now
23d/2 = 138
d = 16
Community Answer
The cross-section of a canal is in the form of a trapezium.If the top ...
Given information:
- Top width of the canal: 15m
- Bottom width of the canal: 8m
- Area of cross-section: 138m
To find: Depth of the canal
Formula:
The area of a trapezium can be calculated using the formula:
Area = (1/2) * (a + b) * h
Where,
a = top width of the trapezium
b = bottom width of the trapezium
h = height or depth of the trapezium
Solution:
1. Given that the top width of the canal is 15m, the bottom width is 8m, and the area of the cross-section is 138m.
2. We can use the formula of the area of a trapezium to find the depth of the canal.
3. Substitute the given values into the formula:
138 = (1/2) * (15 + 8) * h
4. Simplify the equation:
138 = (1/2) * 23 * h
138 = 11.5h
5. Divide both sides of the equation by 11.5:
h = 138 / 11.5
h ≈ 12
Answer:
The depth of the canal is approximately 12 meters.
- Top width of the canal: 15m
- Bottom width of the canal: 8m
- Area of cross-section: 138m
To find: Depth of the canal
Formula:
The area of a trapezium can be calculated using the formula:
Area = (1/2) * (a + b) * h
Where,
a = top width of the trapezium
b = bottom width of the trapezium
h = height or depth of the trapezium
Solution:
1. Given that the top width of the canal is 15m, the bottom width is 8m, and the area of the cross-section is 138m.
2. We can use the formula of the area of a trapezium to find the depth of the canal.
3. Substitute the given values into the formula:
138 = (1/2) * (15 + 8) * h
4. Simplify the equation:
138 = (1/2) * 23 * h
138 = 11.5h
5. Divide both sides of the equation by 11.5:
h = 138 / 11.5
h ≈ 12
Answer:
The depth of the canal is approximately 12 meters.
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The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth?
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The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth? 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 cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth?.
The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth? 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 cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cross-section of a canal is in the form of a trapezium.If the top of canal is 15m wide,the bottom is 8m and the area of cross-section is 138m,find its depth?.
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