Table of Contents
- 1 How many perfect cube are there between 1 to 100000 which are divisible by 7?
- 2 How many perfect cubes are there between 1 and 10000?
- 3 How many perfect cubes are there between 100 and 1000?
- 4 Is 100000 a perfect square?
- 5 How many perfect cubes are there between 1 and 300?
- 6 How many perfect cubes are there between 1 and 1000?
- 7 Which of the following is a perfect cube 10000 or 243 or 343 or 270000?
- 8 How many perfect cubes are there between 1 and 100000?
- 9 How many perfect squares are there from 1 to 10^6?
How many perfect cube are there between 1 to 100000 which are divisible by 7?
6 perfect cubes
Solution: Suppose 7n is a number which is divisible by 7. By Putting, n = 1, 2, 3, 4, 5, 6, 7, 8, 9 ……. ∴ There are 6 perfect cubes.
How many perfect cubes are there between 1 and 10000?
8, 27, 64, 125, 216, 343, 512, 729.
Is 100000 a perfect cube?
100000 is not a perfect cube.
How many perfect cubes are there between 100 and 1000?
What are first ten perfect cube numbers? The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.
Is 100000 a perfect square?
100000 is not a perfect square.
Which of the following is a perfect cube 10000?
the answer is 343.
How many perfect cubes are there between 1 and 300?
Answer: There are 54 perfect cube in first 300 natural number.
How many perfect cubes are there between 1 and 1000?
There are 8 perfect cubes between 1 and 1000, i.e. 8, 27,64,125, 216, 343 and 729.
How many square numbers are there between 1 and 10000?
100 perfect squares up to 10,000, then 99 perfect squares below 10,000.
Which of the following is a perfect cube 10000 or 243 or 343 or 270000?
Answer: the answer is 343.
How many perfect cubes are there between 1 and 100000?
⇒ The number of perfect cubes between 1 and 100000 = Number of perfect cubes between 1/343 and 100000/343. ⇒ The number of perfect cubes between 1/343 and 219.545.
How do you prove a number is a perfect cube?
Let a 3 be divisible by 7, then it should also be divisible by 7 3 = 343. That is because a perfect cube should have the power of its entire prime factor in the prime factorisation to be a multiple of 3. If such a perfect cube is now divided by 343, the resulting number should also be a perfect cube.
How many perfect squares are there from 1 to 10^6?
The number of perfect squares from 1 to 10^6 are 1000, starting with 1 (square of 1) and ending with 10^6 (square of 1000). The number of perfect cubes from 1 to 10^6 are 100, starting with 1 (cube of 1) and ending with 10^6 (cube of 100). Now, we need to consider the numbers which are squares as well as cubes.