Cube Root by Prime Factorisation

Q. Find the cube root of 46656 by prime factorisation method. [3 marks]

Q.

How to find the cube root $74088$ with the prime factorization method.

Q. Find the cube root of 13824 using the prime factorisation method.

Q. The cube root of 9000 is _____.
(solve by prime factorisation method)

1. $20\sqrt[3]{39}$
2. $10\sqrt[3]{39}$
3. $20\sqrt[3]{36}$
4. $10\sqrt[3]{36}$

Q. Question 1(vii)
Find the cube root of each of the following numbers by prime factorization method:
110592

Q. What will be cube root of $125\times 1331$?

1. 55
2. 45
3. 65
4. 75

Q. Question 1(iv)
Find the cube root of each of the following numbers by prime factorization method:
27000

Q.

Question 97

Solve the following question:

Using prime factoristaion, find the cube roots of

a) 512
b) 2197

Q. Find the cube root of 1728.

Q. Question 1(x)
Find the cube root of each of the following numbers by prime factorization method:
91125

Q. Question 1(vi)
Find the cube root of each of the following numbers by prime factorization method:
13824

Q. Question (viii)
Find the cube root of each of the following numbers by prime factorization method:
46656

Q.

What is the cube root of $1000$?

Q. If a cubical tank has a volume of $27000m^3$, then the height of the tank is _____m.

1. 15
2. 20
3. 25
4. 30

Q.

$999$ is a perfect cube. State whether the statement is true (T) or false (F).

1. True
2. False

Q. Question 1(i)
Find the cube root of each of the following numbers by prime factorization method:
64

Q. If 343000 is a perfect cube, which of the following is its cube root?

1. 70
2. 170
3. 700
4. 343

Q. Find the cube root of 133100 if the cube root of 100 is 4.642.

1. 11
2. 4.462
3. 51.057
4. 22.091

Q. Find the cube root of 175616 by prime factorisation method. [3 marks]

Q. Find the cube root of 91125 by prime factorisation method. [3 marks]

Q. Find the cube root of the given number by prime factorization method:
175616

Q. What will be cube root of $125\times 1331$?

1. 55
2. 65
3. 45
4. 75

Q. Find the cube root of the given number by prime factorization method:
175616

Q. Find the cube root of 216000.

1. 10
2. 90
3. 60
4. 216

Q. Area of a side of a Rubik's cube is 441 sq ft. Find the length of each of its side.

1. 21 ft
2. 20 ft
3. 19 ft
4. 24 ft

Q.

How to make 256 a perfect cube?

1. Divide by 4

2. Divided by 8

3. Multiply by 2

4. Divide by 2

Q. Find the cube root of 133100 if the cube root of 100 is 4.642.

1. 11
2. 4.462
3. 51.057
4. 22.091

Q. If a cube number is prime factorised as a x a x a x b x b x c, which of the following is true?

1. b = c
2. b = 2c
3. b < c
4. b > c

Q. If 343000 is a perfect cube, which of the following is its cube root?

1. 70
2. 170
3. 700
4. 343

Q. The cube root of 30 lies between

1. 5 and 6
2. 3 and 4
3. 4 and 5