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What are Vectors?
Vectors are living organisms—usually insects like mosquitoes, houseflies or ticks—that carry pathogens and transfer them to humans. These animals don’t get sick themselves but pass on diseases. For example, mosquitoes carry the parasites that cause malaria or the virus that causes dengue. HousefliesRead more
Vectors are living organisms—usually insects like mosquitoes, houseflies or ticks—that carry pathogens and transfer them to humans. These animals don’t get sick themselves but pass on diseases. For example, mosquitoes carry the parasites that cause malaria or the virus that causes dengue. Houseflies can spread germs from garbage to food. Controlling vectors by using nets, repellents and maintaining cleanliness helps prevent such diseases from spreading.
For more NCERT Solutions for Class 8 Science Curiosity Chapter 3 Health: The Ultimate Treasure Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/science/
See lessWhich of the following is the greatest? Explain your reasoning. (i) 67³ – 66³ (ii) 43³ – 42³ (iii) 67² – 66² (iv) 43² – 42²
Let’s compare using identities: a³ – b³ = (a–b)(a² + ab + b²) 67³ – 66³ = 1(4489 + 4422 + 4356) = 13267 43³ – 42³ = 1(1849 + 1806 + 1764) = 5419 a² – b² = (a–b)(a + b) 67² – 66² = 1(133) = 133 43² – 42² = 1(85) = 85 So, the greatest is 67³ – 66³ For more NCERT Solutions for Class 8 MathematicRead more
Let’s compare using identities:
a³ – b³ = (a–b)(a² + ab + b²)
67³ – 66³ = 1(4489 + 4422 + 4356) = 13267
43³ – 42³ = 1(1849 + 1806 + 1764) = 5419
a² – b² = (a–b)(a + b)
67² – 66² = 1(133) = 133
43² – 42² = 1(85) = 85
So, the greatest is 67³ – 66³
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessYou are told that 1331 is a perfect cube. Can you guess without factorisation what its cube root is? Similarly, guess the cube roots of 4913, 12167 and 32768.
We can guess these cube roots: 1331 = 11³ (last digit is 1) 4913 = 17³ 12167 = 23³ 32768 = 32³ By knowing cube values or estimating from digit patterns, we match these cubes to their roots. For instance, 32³ = 32768, so cube root is 32. This helps in quick identification without full factorisation.Read more
We can guess these cube roots:
1331 = 11³ (last digit is 1)
4913 = 17³
12167 = 23³
32768 = 32³
By knowing cube values or estimating from digit patterns, we match these cubes to their roots. For instance, 32³ = 32768, so cube root is 32. This helps in quick identification without full factorisation.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessState true or false. Explain your reasoning. (i) The cube of any odd number is even. (ii) There is no perfect cube that ends with 8. (iii) The cube of a 2-digit number may be a 3-digit number. (iv) The cube of a 2-digit number may have seven or more digits. (v) Cube numbers have an odd number of factors.
(i) False – Odd³ = Odd (e.g., 3³ = 27) (ii) False – 2³ = 8 ends in 8 (iii) True – 4³ = 64 (2-digit → 2-digit), 5³ = 125 (2-digit → 3-digit) (iv) True – 99³ = 970299 (2-digit cube has 6 digits) (v) False – Only cube numbers that are also squares have odd number of factors. Others have even. FoRead more
(i) False – Odd³ = Odd (e.g., 3³ = 27)
(ii) False – 2³ = 8 ends in 8
(iii) True – 4³ = 64 (2-digit → 2-digit), 5³ = 125 (2-digit → 3-digit)
(iv) True – 99³ = 970299 (2-digit cube has 6 digits)
(v) False – Only cube numbers that are also squares have odd number of factors. Others have even.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessWhat number will you multiply by 1323 to make it a cube number?
1323 = 3³ × 7². For it to be a perfect cube, each prime must occur in multiples of 3. We already have 7², so we need one more 7 to make it 7³. Therefore, multiply 1323 by 7 to get 3³ × 7³ = (3×7)³ = 21³ = 9261 Answer: Multiply by 7 and cube root of the result is 21. For more NCERT Solutions fRead more
1323 = 3³ × 7². For it to be a perfect cube, each prime must occur in multiples of 3.
We already have 7², so we need one more 7 to make it 7³.
Therefore, multiply 1323 by 7 to get 3³ × 7³ = (3×7)³ = 21³ = 9261
Answer: Multiply by 7 and cube root of the result is 21.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See less