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8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied?
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8. The planetarium is designed for 2000 seating capacity. Students are...
Maximum Number of Rows Occupied
To find the maximum number of rows occupied in the planetarium with a seating capacity of 2000, we need to establish that the number of rows equals the number of columns. Therefore, if we denote the number of rows and columns as "n," the equation becomes:
- n × n = 2000
- n² = 2000
- n = √2000 ≈ 44.72
Since "n" must be a whole number, we take the largest integer less than or equal to 44.72, which is 44. Therefore, the maximum number of rows occupied is:
- Max Rows = 44
Number of Vacant Seats
To find the number of vacant seats when the maximum number of rows (44) is occupied, we calculate:
- Total occupied seats = 44 × 44 = 1936
- Vacant seats = Total capacity - Occupied seats = 2000 - 1936 = 64
Thus, the number of vacant seats when 44 rows are occupied is:
- Vacant Seats = 64
Rows Occupied for 1296 Students
To accommodate 1296 students, we again denote the number of rows and columns as "n." The equation becomes:
- n × n = 1296
- n² = 1296
- n = √1296 = 36
This means that to accommodate 1296 students, the number of rows occupied would be:
- Rows Occupied = 36
In summary, the planetarium can have a maximum of 44 rows occupied, leaving 64 vacant seats, and it can accommodate 1296 students with 36 rows fully occupied.
To find the maximum number of rows occupied in the planetarium with a seating capacity of 2000, we need to establish that the number of rows equals the number of columns. Therefore, if we denote the number of rows and columns as "n," the equation becomes:
- n × n = 2000
- n² = 2000
- n = √2000 ≈ 44.72
Since "n" must be a whole number, we take the largest integer less than or equal to 44.72, which is 44. Therefore, the maximum number of rows occupied is:
- Max Rows = 44
Number of Vacant Seats
To find the number of vacant seats when the maximum number of rows (44) is occupied, we calculate:
- Total occupied seats = 44 × 44 = 1936
- Vacant seats = Total capacity - Occupied seats = 2000 - 1936 = 64
Thus, the number of vacant seats when 44 rows are occupied is:
- Vacant Seats = 64
Rows Occupied for 1296 Students
To accommodate 1296 students, we again denote the number of rows and columns as "n." The equation becomes:
- n × n = 1296
- n² = 1296
- n = √1296 = 36
This means that to accommodate 1296 students, the number of rows occupied would be:
- Rows Occupied = 36
In summary, the planetarium can have a maximum of 44 rows occupied, leaving 64 vacant seats, and it can accommodate 1296 students with 36 rows fully occupied.
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8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied?
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8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied? 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 8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied?.
8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied? 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 8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied?.
Solutions for 8. The planetarium is designed for 2000 seating capacity. Students are required to be seated in such a way that the number of students in each row is equal to the number of students in each column. Based on the above information answer the following questions: i) Find the maximum number of rows occupied if planetarium is not filled to its capacity. ii) Find the number of vacant seats if maximum number of rows are occupied. To accommodate 1296 students how many rows will be occupied? in English & in Hindi are available as part of our courses for Class 8.
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