## RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.1
- RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.2
- RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.3
- RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4
- RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.5

**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

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

Hope given RD Sharma Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4.4 are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.