Cube Root

Q.

Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many cuboids will he need to form a cube?

Q.

Which natural number is equal to its cube?

1. 1

2. 4

3. 3

4. 2

Q. The simplified form of \sqrt{125}+\sqrt{125 }+\sqrt{845} is what

Q.

Question 26

Fill in the blanks to make the statements true.

There are ___ perfect cubes between 1 and 1000.

Q.

The cube root of the number 15625 is a perfect square of __________.

1. 25

2. 125

3. 15

4. 5

Q.

Question 2(iii)

State True or False.
If square of a number ends with 5, then its cube ends with 25.

Q. Which of the following is the cube of an odd number?

1. 64
2. 216
3. 343
4. 512

Q.

Write true or false: No cube can end with exactly two zeros

1. True
2. False

Q. State true or false with a valid reason.
(i) The cube of any odd number is even
(ii) A perfect cube does not end with two zeroes.
(iii) If a square of a number ends with 5, then its cube ends with 25.
(iv) There is no perfect cube that ends with 8.

Q. If $\sqrt[3]{32744}=2p+2$, find the value of p?

1. 6

Q.

A number having $7$ at its ones place will have $3$ at the ones place of its cube.

1. True
2. False

Q. Find the smallest numbers by which $3456$ should be divided to make it a perfect cube.

Q.

Which of the following is the perfect cube?

1. 1 and 2

2. 2 and 3

3. 125
4. 56

Q.

What is the square root of $x$ squared?

Q. 4 is a perfect cube number.

1. False
2. True

Q.

Question 43

Fill in the blanks to make the statements true.

The cube of an odd number is always an ___ number.

Q.

The square of a number is 64. What is the cube root of that number?

1. 4

2. 1

3. 8

4. 2

Q. The value of $\frac{1}{\sqrt[3]{30.027}}+{\left(\sqrt[3]{3125}\right)}^2+\sqrt{\frac{1}{\sqrt[3]{3(-21+85)}}}$ equals

1. $25\frac{5}{6}$
2. $26\frac{5}{8}$
3. $28\frac{5}{6}$
4. $28\frac{1}{6}$

Q.

The cube root of the number 15625 is a perfect square of __________.

1. 15

2. 125

3. 5

4. 25

Q.

Find $\sqrt[3]{3\frac{7290\times 20\times 5}{343\times 216}}$

1. $3\frac{1}{8}$

2. $2\frac{1}{7}$

3. $1\frac{1}{7}$

4. $3\frac{1}{7}$

Q.

The value of $\sqrt[3]{33375}\times \frac{1}{15}$ is

1. 2

2. 1

3. 3

4. 15

Q. If the square root of the cube root of $x$ is $3$, find the value of $x$.

1. $729$
2. $27$
3. $9$
4. $3$

Q. 4 is a perfect cube number.

1. False
2. True

Q. Cube root of 1331 = _____.

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

Q.

Classify the following as finite, infinite, singleton, or null sets. Also give the cardinal number of each set.

$R=$$\{0,1,8,27,64,125......\}$

Q.

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

1. 2

2. 2.5

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

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

Q.

What is the value of $\sqrt[3]{3-8}-\sqrt[3]{3-216}$ ?

1. 4

2. -8

3. -4

4. 8

Q. 1, 03, 823 is a perfect cube. The units digit of cube root of 1, 03, 823 is ______.

1. 3
2. 5
3. 7
4. 9

Q. The value of $\sqrt[3]{3125}+(3{)}^3$ is

1. 27
2. 32
3. 24
4. 34

Q.

Question 60

State whether the following statement is true or false:

There are five perfect cubes between 1 and 100.