Cube Root of Number

Q. The smallest number with which 1188 should be divided to get a perfect cube is

1. 44
2. 54
3. 24

Q.

A perfect cube does not end with two zeros.

1. True
2. False

Q. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

1. 5
2. 6
3. 7
4. 8

Q. If 6³ is expressed as sum of consecutive odd numbers we get

1. 27+29+31+33+35+37
2. 31 +33+35+37+39+41
3. 31 + 33 + 35 + 37

Q.

What is a cube and cube root?

Q. Find the value of $\sqrt[3]{3212+\sqrt[3]{364}}$.

Q. Find the cube root of each of the following rational numbers:

iii) $0.001$

Q. Find the cube root of each of the following numbers: [4 MARKS]

1. $8\times 64$

2. $(-216)\times 1728$

3. $27\times (-2744)$

4. $(-125)\times (-3375)$

Q. Find the cube root of:
(i) 343
(ii) 1000
(iii) 2744
(iv) 74088 [4 MARKS]

Q. Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?

1. 2 and 3
2. 8 and 12
3. 15 and 20
4. 25 and 37.5

Q.

$\sqrt{\sqrt{1296}}$ =

1. 8

2. 6

3. 18

4. 32

Q. Write cubes of $5$ natural numbers which are of the form $3n+1$ (e.g. 4, 7, 10, ....) and verify the following:
'The cube of a natural number of the form $3n+1$ is a natural number of the same form'.

Q.

Find the cube root of 0.125

1. 5

2. 0.5

3. 0.05

4. 50

Q.

Find the value of $\sqrt[3]{35}\times \sqrt[3]{350}\times \sqrt[3]{3500}$.

1. 500

2. 125

3. 50

4. 25

Q. If 8 is subtracted from twice the cube of 5, then the result is not divisible by

1. $3$
2. $2$
3. $121$
4. $11$

Q. Match the cube roots for the following numbers.

1. 11
2. 9
3. 8
4. 7

Q.

The value of $\sqrt[3]{3212+\sqrt[3]{364}}$ is _____.

1. 4

2. 2

3. 6

4. 8

Q.

Find the cube root of 1.728

1. 1.2

2. 0.12

3. 0.102

4. 0.012

Q. Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

Q. Use a calculator to find these square roots and cubes roots.
a. $\sqrt{625}$
b. $\sqrt{20.25}$
c. $\sqrt{46.24}$
d. $\sqrt[3]{31728}$
e. $\sqrt[3]{36.859}$

Q. In order to make the number 648 as a perfect cube, number of times 3 has to be mutiplied to it is

1. 2
2. 3
3. 4

Q.

Find the cube root of $216\times 729$.

1. 72

2. 27

3. 54

4. 81

Q. $\sqrt[3]{38}=3$

1. False
2. True

Q.

What is the value of $\sqrt[3]{38}+\frac{1}{\sqrt[3]{38}}$ ?

1. 2

2. 2.5

3. $\frac{5}{2}$

4. $\frac{2}{5}$