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In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)
- a)4000 m3
- b)2000 m3
- c)3500 m3
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a rectangular farm of length 50 m and breadth 40 m, mango trees are...
Area of the rectangle = 50 * 40 = 2000 m2
Area of square = 900 m2
Remaining area = 2000 - 900 = 1100 m2
Volume of soil required = 1100 * 2 = 2200 m3
Hence, option 4.
Area of square = 900 m2
Remaining area = 2000 - 900 = 1100 m2
Volume of soil required = 1100 * 2 = 2200 m3
Hence, option 4.
Most Upvoted Answer
In a rectangular farm of length 50 m and breadth 40 m, mango trees are...
The total area is 40x50 m². the area occupied by trees is 30x30 m². hence the remaining area is 1100 m². it is filled with 6.56 feet of mixture which is nearly 2 mts. so total volume to be filled is 2200 m³.
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Community Answer
In a rectangular farm of length 50 m and breadth 40 m, mango trees are...
To find the volume of the mixture to be filled, we need to calculate the volume of the rectangular portion outside the square portion.
Given:
Length of the rectangular farm = 50 m
Breadth of the rectangular farm = 40 m
Length of the square portion = 30 m
Depth of the portion to be filled = 6.56 feet
Let's begin solving the problem step by step.
Step 1: Convert the depth from feet to meters
Given, 1 feet = 12 inch and 1 inch = 2.54 cm = 0.0254 m
Therefore, 1 feet = 12 * 0.0254 m = 0.3048 m
Depth of the portion to be filled = 6.56 feet * 0.3048 m/feet = 1.9989 m (approximately)
Step 2: Calculate the volume of the rectangular portion outside the square portion
The rectangular portion outside the square portion can be visualized as a rectangular box with the following dimensions:
Length = 50 m
Breadth = 40 m
Height = Depth = 1.9989 m
Volume of the rectangular portion outside the square portion = Length * Breadth * Height
= 50 m * 40 m * 1.9989 m
= 3997.8 m^3 (approximately)
Step 3: Round off the volume to the nearest whole number
Since the volume cannot be measured with such precision, we round off the volume to the nearest whole number.
Rounded off volume = 3998 m^3
Therefore, the volume of the mixture to be filled is 3998 m^3.
Hence, the correct answer is option 'D'.
Given:
Length of the rectangular farm = 50 m
Breadth of the rectangular farm = 40 m
Length of the square portion = 30 m
Depth of the portion to be filled = 6.56 feet
Let's begin solving the problem step by step.
Step 1: Convert the depth from feet to meters
Given, 1 feet = 12 inch and 1 inch = 2.54 cm = 0.0254 m
Therefore, 1 feet = 12 * 0.0254 m = 0.3048 m
Depth of the portion to be filled = 6.56 feet * 0.3048 m/feet = 1.9989 m (approximately)
Step 2: Calculate the volume of the rectangular portion outside the square portion
The rectangular portion outside the square portion can be visualized as a rectangular box with the following dimensions:
Length = 50 m
Breadth = 40 m
Height = Depth = 1.9989 m
Volume of the rectangular portion outside the square portion = Length * Breadth * Height
= 50 m * 40 m * 1.9989 m
= 3997.8 m^3 (approximately)
Step 3: Round off the volume to the nearest whole number
Since the volume cannot be measured with such precision, we round off the volume to the nearest whole number.
Rounded off volume = 3998 m^3
Therefore, the volume of the mixture to be filled is 3998 m^3.
Hence, the correct answer is option 'D'.
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In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a rectangular farm of length 50 m and breadth 40 m, mango trees are planted in a square portion of length 30 m such that the centre of the rectangle and square coincide. Outside the square portion, the farmer is supposed to refill the mixture of sand and fertilizers. The depth of this portion is 6.56 feet. What will be the volume of the mixture to be filled? (1 inch = 2.54 cm and 1 feet = 12 inch)a)4000 m3b)2000 m3c)3500 m3d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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