In this chapter, we provide RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4 Maths pdf, free RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4 Maths book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 4 |

Chapter Name | Cubes and Cube Roots |

Exercise | Ex 4.4 |

**RD Sharma Solutions for Class 8 Chapter 4 Cubes and Cube Roots Ex 4.4** **Download PDF**

**Question 1.****Find the cube roots of each of the following integers :****(i) -125****(ii) -5832****(iii) -2744000****(iv) -753571****Solution:**

**Question 2.****Show that :****Solution:**

**Question 3.****Find the cube root of each of the following numbers :****(i) 8 x 125****(ii) -1728 x 216****(iii) -27 x 2744****(iv) -729 x -15625****Solution:**

**Question 4.****Evaluate :****Solution:**

**Question 5.****Find the cube root of each of the following rational numbers.****Solution:**

**Question 6.****Find the cube root of each of the following rational numbers :****(i) 0.001728****(ii) 0.003375****(iii) 0.001****(iv) 1.331****Solution:**

**Question 7.****Evaluate each of the following :****Solution:**

**Question 8.****Show that :****Solution:**

**Question 9.****Fill in the Blanks :****Solution:**

**Question 10.****The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.****Solution:**

**Question 11.****Three numbers are to one another 2:3: 4. The sum of their cubes is 0.334125. Find the numbers.****Solution:**

**Question 12.****Find side of a cube whose volume is****Solution:**

**Question 13.****Evaluate :****Solution:**

**Question 14.****Find the cube root of the numbers : 2460375,20346417,210644875,57066625 using the fact that****(i) 2460375 = 3375 x 729****(i) 20346417 = 9261 x 2197****(iii) 210644875 = 42875 x 4913****(iv) 57066625 = 166375 x 343****Solution:**

**Question 15.Find the units digit of the cube root of the following numbers ?**

**(i) 226981**

**(ii) 13824**

**(iii) 571787**

**(iv) 175616**

**Solution:**

(i)226981

(i)

In it unit digit is 1

∴The units digit of its cube root will be = 1

(∵ 1 x 1 x 1 = 1)

∴Tens digit of the cube root will be = 6

**(ii)**13824

∵ The units digit of 13824 = 4

(∵ 4 X 4 X 4 = 64)

∴Units digit of the cube root of it = 4

**(iii)**571787

∵ The units digit of 571787 is 7

∴The units digit of its cube root = 3

(∵ 3 x 3 x 3 = 27)

**(iv)**175616

∵ The units digit of 175616 is 6

∴The units digit of its cube root = 6

(∵ 6 x 6 x 6=216)

**Question 16.Find the tens digit of the cube root of each of the numbers in Question No. 15.**

**Solution:**

**(i)**In 226981

∵ Units digit is 1

∴Units digit of its cube root = 1

We have 226

(Leaving three digits number 981)

6

^{3}= 216 and 7

^{3}= 343

∴6

^{3}∠226 ∠ T

∴The ten’s digit of cube root will be 6

**(ii)**In 13824

Leaving three digits number 824, we have 13

∵ (2)

^{3}= 8, (3)

^{3}= 27

∴2

^{3}∠13 ∠3′

∴Tens digit of cube root will be 2

**(iii)**In 571787

Leaving three digits number 787, we have 571

8

^{3}= 512, 9

^{3}= 729

∴ 8

^{3}∠571 ∠9

^{3}Tens digit of the cube root will be = 8

**(iv)**In 175616

Leaving three digit number 616, we have 175

∵ 5

^{3}= 125, 6

^{3}= 216

∴5

^{3}∠175 ∠6

^{3}∴Tens digit of the cube root will be = 5

**All Chapter RD Sharma Solutions For Class 8 Maths**

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**All Subject NCERT Solutions For Class 8**

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