ML Aggarwal Cubes and Cube Roots MCQs Class 8 ICSE Ch-4 Maths Solutions. We Provide Step by Step Answer of MCQs Questions for Cubes and Cube Roots as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-8.

**ML Aggarwal Cubes and Cube Roots MCQs Class 8 ICSE Maths Solutions**

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 8th |

Chapter-4 | Cubes and Cube Roots |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of MCQs |

Edition | 2023-2024 |

**Cubes and Cube Roots MCQs **

**ML Aggarwal Class 8 ICSE Maths Solutions**

Page-76

**Mental Maths :**

**Question 1. Fill in the blanks:**

(i) Cube of an even natural number is …………..

(ii) Cubes of natural numbers are called …………..

(iii) Cube of a natural number whose unit digit is 7, ends with digit …………..

(iv) If a natural number has one zero at its end, then its cube will contain ………….. zero at the end.

(v) Finding a cube root is the inverse operation of finding …………..

(vi) If a number can be expressed as the triplets of equal prime factors, then it is called ………….

**Answer:**

(i) Cube of an even natural number is **even number**

(ii) Cubes of natural numbers are called **perfect cube**

(iii) Cube of a natural number whose unit digit is 7, ends with digit** 3**

(iv) If a natural number has one zero at its end, then its cube will contain **three** zero at the end.

(v) Finding a cube root is the inverse operation of finding **cube**

(vi) If a number can be expressed as the triplets of equal prime factors, then it is called **perfect cube**

**Question 2. State whether the following statements are true (T) or false (F):**

(i) Cube of any odd number is even.

(ii) A perfect cube does not end with two zeros.

(iii) If square of a number ends with 5, then its cube ends with 25.

(iv) There is no perfect cube which ends with 8.

(v) The cube of a two digit number may be a three digit number.

(vi) The cube of a single digit number may be a single digit number.

(vii) If a number is multiplied by 2 then its cube is multiplied by 8.

**Answer:**

(i) Cube of any odd number is even. **False **

(ii) A perfect cube does not end with two zeros. **True**

(iii) If square of a number ends with 5, then its cube ends with 25. **False**

(iv) There is no perfect cube which ends with 8. **False**

(v) The cube of a two digit number may be a three digit number. **False**

(vi) The cube of a single digit number may be a single digit number. **True**

(vii) If a number is multiplied by 2 then its cube is multiplied by 8. **True**

Page-77

**Multiple Choice Question (MCQ)**

**Choose the correct answer from the given four options (3 to 12):**

**Question 3. Cube of a negative number is**

(a) negative

(b) positive

(c) negative or positive

(d) None of these

**Answer:**

(a) negative

**Question 4. The unit digit of a cube of 476 is**

(a) 4

(b) 6

(c) 8

(d) 2

**Answer:**

(b) 6

**Question 5. Cube of (-8) is**

(a) -512

(b) 512

(c) -64

(d) 64

**Answer:**

(a) -512

**Question 6. Cube of (−3/7) is**

(a) 27/343

(b) -27/343

(c) 9/49

(d) -9/49

**Answer:**

(b) -27/343

**Question 7. Cube root of -1331 is**

(a) 11

(b) 21

(c) -11

(d) -21

**Answer:**

(c) -11

**Question 8. Cube root of 2744 is**

(a) 16

(b) 18

(c) -14

(d) 14

**Answer:**

(d) 14

**Question 9. Cube root of 1 (127/216) is**

(a) 6/7

(b) -7/6

(c) 1(1/6)

(d) -6/7

**Answer:**

(c) 1(1/6)

**Question 10. The smallest number by which 192 should be multiplied to make it a perfect cube is**

(a) 9

(b) 6

(c) 3

(d) 2

**Answer:**

(a) 9

Question- 11. The smallest number by which 686 should be divided to make it a perfect cube is

(a) 1

(b) 2

(c) 3

(d) 4

**Answer:**

(b) 2

**Question 12. The volume of a cube is 729 m ^{3}. Length of its side is**

(a) 3 m

(b) 6 m

(c) 9 m

(d) 27 m

**Answer:**

(c) 9 m

**Higher Order Thinking Skills (HOTS)**

**Question 1. Find the volume of a cubical box if the cost of painting its outer surface is ₹1440 at the rate of ₹15 per sq. m.**

**Answer:**

Rs. 1440/Rs.15 = 96 Sq. Mtrs.

Formula of Lateral Surface Area of a Cube is 6 x of Cube^2

Hence,

6 x Side of Cube² = 96 Sq. Mtrs.

Side of Cube² = 96 ÷ 6

Side of Cube² = 16

Side of Cube = 4

Therefore,

Volume of Cube = Side of Cube³

Volume of Cube = 4³

Volume = 64

**Question 2. In a Maths lab there are some cubes and cuboids of the following measurements:**

(i) one cube of side 4 cm

(ii) one cube of side 6 cm

(iii) 3 cuboids each of dimensions 4 cm × 4 cm × 6 cm and 3 cuboids each of the dimensions 4 cm × 6 cm × 6 cm.

A student wants to arrange these cubes and cuboids in the form of a big cube. Is it possible for him/her to arrange them in the form of a big cube? If yes, then find the length of side of new cube so formed.

**Answer:**

**Yes it is Possible**

(a + b)³ = a³+ 3a²b + 3ab² + b³

⇒ (4 + 6)³ = 4³ + 3 × 4²× 6 + 3 × 4 × 6²+ 6³

⇒ (10³ = (4)³ + 3( 4 × 4× 6 )+ 3( 4 × 6 × 6) + (6)³

**∴ Length of side of new cube = 10 cm**

— : End of ML Aggarwal Cubes and Cube Roots MCQs Class 8 ICSE Maths Solutions :–

Return to **– ML Aggarwal Maths Solutions for ICSE Class -8**

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