Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equRead more
Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equal side lengths. This process demonstrates how a rectangle can be subdivided into smaller, congruent squares, maintaining symmetry and proportionality in geometric design.
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square areRead more
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square are equal in length and that the center of the square coincides with the center of the rectangle. Verify alignment and balance for accuracy.
Download 2024-25 NCERT books and their solutions, you can visit the official NCERT website or use reliable platforms like Tiwari Academy. Tiwari Academy provides free access to NCERT textbooks and detailed solutions for all subjects.
Download 2024-25 NCERT books and their solutions, you can visit the official NCERT website or use reliable platforms like Tiwari Academy. Tiwari Academy provides free access to NCERT textbooks and detailed solutions for all subjects.
To find the smallest number with three distinct prime factors, multiply the smallest primes: 2,3, and 5. Their product is 2 × 3 × 5 = 30, which is the smallest composite number formed by these factors. Including additional primes or larger primes would increase the result, making 30 the minimal soluRead more
To find the smallest number with three distinct prime factors, multiply the smallest primes: 2,3, and 5. Their product is 2 × 3 × 5 = 30, which is the smallest composite number formed by these factors. Including additional primes or larger primes would increase the result, making 30 the minimal solution that satisfies the requirement of having three different prime factors.
Using prime factorization: • 242 = 2 × 11², with prime factors 2 and 11. • 195 = 3 × 5 × 13, with prime factors 3, 5, and 13. Since there are no common factors between the two sets of primes, the greatest common divisor (GCD) is 1. This confirms that 242 and 195 are co-prime, as they share no primeRead more
Using prime factorization:
• 242 = 2 × 11², with prime factors 2 and 11.
• 195 = 3 × 5 × 13, with prime factors 3, 5, and 13.
Since there are no common factors between the two sets of primes, the greatest common divisor (GCD) is 1. This confirms that 242 and 195 are co-prime, as they share no prime factors beyond the trivial case of 1.
Construct a rectangle that can be divided into 3 identical squares.
Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equRead more
Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equal side lengths. This process demonstrates how a rectangle can be subdivided into smaller, congruent squares, maintaining symmetry and proportionality in geometric design.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Construct a square inside a rectangle with sides 8 cm and 4 cm such that the center of the square is the same as the center of the rectangle.
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square areRead more
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square are equal in length and that the center of the square coincides with the center of the rectangle. Verify alignment and balance for accuracy.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
NCERT Books
Download 2024-25 NCERT books and their solutions, you can visit the official NCERT website or use reliable platforms like Tiwari Academy. Tiwari Academy provides free access to NCERT textbooks and detailed solutions for all subjects.
Download 2024-25 NCERT books and their solutions, you can visit the official NCERT website or use reliable platforms like Tiwari Academy. Tiwari Academy provides free access to NCERT textbooks and detailed solutions for all subjects.
See lessWhat is the smallest number whose prime factorization has: a) Three different prime numbers?
To find the smallest number with three distinct prime factors, multiply the smallest primes: 2,3, and 5. Their product is 2 × 3 × 5 = 30, which is the smallest composite number formed by these factors. Including additional primes or larger primes would increase the result, making 30 the minimal soluRead more
To find the smallest number with three distinct prime factors, multiply the smallest primes: 2,3, and 5. Their product is 2 × 3 × 5 = 30, which is the smallest composite number formed by these factors. Including additional primes or larger primes would increase the result, making 30 the minimal solution that satisfies the requirement of having three different prime factors.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Use prime factorization to check if 242 and 195 are co-prime.
Using prime factorization: • 242 = 2 × 11², with prime factors 2 and 11. • 195 = 3 × 5 × 13, with prime factors 3, 5, and 13. Since there are no common factors between the two sets of primes, the greatest common divisor (GCD) is 1. This confirms that 242 and 195 are co-prime, as they share no primeRead more
Using prime factorization:
• 242 = 2 × 11², with prime factors 2 and 11.
• 195 = 3 × 5 × 13, with prime factors 3, 5, and 13.
Since there are no common factors between the two sets of primes, the greatest common divisor (GCD) is 1. This confirms that 242 and 195 are co-prime, as they share no prime factors beyond the trivial case of 1.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/