Cube Roots

Q. If the square root of a number is between 6 and 7, then its cube root lies between:

1. 2 and 3
2. 4 and 4.5
3. 2.5 and 3
4. 3 and 4

Q.

The side of a cube whose volume is $9261000m^3$ is

1. 

2. 

3. 

4. 

Q. If 504 + P is a perfect cube number, whose cube root is P, then P = _________ .

1. 8
2. 2
3. 6
4. 4

Q. Find the smallest number which when multiplied with 5184 will make the product a perfect cube.

1. 6
2. 9
3. 3
4. 2

Q. The sum of a number and its reciprocal is 4. Find the sum of their cubes.

1. 39
2. 13
3. 52
4. 26

Q. If the volume of a cube is $a^3$, then its side is _____ .

1. $a$
2. $\frac{a}{2}$
3. $a^2$
4. 3$a$

Q. The value of $(4096{)}^{\frac{1}{3}}$ is

1. 8
2. 16
3. 24
4. 32

Q. To make $(x^4+4y^4)$ perfect square we have to substract-

1. $4xy$
2. $4y^2{x}^2$
3. $2y^2{x}^2$
4. $2xy$

Q. Find the cube root of ${10}^9.$

1. ${10}^3$
2. ${10}^4$
3. ${10}^2$
4. ${10}^5$

Q.

What is the smallest number with which 1188 should be divided to get a perfect cube?

1. 27

2. 54

3. 24

4. 44

Q.

How to make 256 a perfect cube?

1. Divide by 4

2. Divided by 8

3. Divide by 2

4. Multiply by 2

Q. What is the least number by which 10125 may be divided so that the quotient is a perfect cube?

1. 2
2. 4
3. 3
4. 5

Q. $\sqrt{9}=81$

1. False
2. True

Q.

What is the cube root of reciprocal of 64?

1. 0.75

2. 1.25

3. 0.25

4. 1.5

Q. Simplify:
$\frac{\left(2^2\right)\times 7^{10}}{3^2\times 7}$

Q. The smallest number by which 32 has to be multiplied to get a cube is

1. 4
2. 2
3. 8
4. 5

Q. Simplify and express the following in exponential form:
$\frac{2^3\times 3^4\times 4}{3\times 32}$