## RS Aggarwal Class 8 Solutions Chapter 4 Cubes and Cube Roots Ex 4A

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4A.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4A
- RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4B
- RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4C
- RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4D

**Question 1.**

**Solution:**

(i) (8)³ = 8 x 8 x 8 = 512

(ii) (15)³ = 15 x 15 x 15 = 3375

(iii) (21)³ = 21 x 21 x 21 = 9261

(iv) (60)³ = 60 x 60 x 60 = 216000 Ans.

**Question 2.**

**Solution:**

(i)(1.2)³= 1.2 x 1.2 x 1.2 = 1.728

(ii) (3.5)³ = 3.5 x 3.5 x 3.5 = 42.875

(iii) (0.8)³ = 0.8 x 0.8 x 0.8 = 0.512

(iv) (0.05)³ = 0.05 x 0.05 x 0.05 = 0.000125

**Question 3.**

**Solution:**

**Question 4.**

**Solution:**

(i) 125

= \(\overline { 5\times 5\times 5 } ={ \left( 5 \right) }^{ 3 }\)

**Question 5.**

**Solution:**

We know that cube of an even number is also even.

216, 1000 and 512 are the cubes of even numbers as these are all even numbers. Ans.

**Question 6.**

**Solution:**

We know that cube of an odd number is also odd.

125, 343 and 9261 are the cubes of odd natural numbers as these are also odd numbers. Ans.

**Question 7.**

**Solution:**

Factorising 1323 into prime factors,

**Question 8.**

**Solution:**

Factorising 2560 into prime factors.

Making them in groups of 3 equal factors, we are left 5

To make it into a group of 3, we have to multiply it by 5 x 5 i.e. by 25.

Hence, the smallest number by which it is multiplied = 25 Ans.

**Question 9.**

**Solution:**

Factorising 1600 into prime factors

**Question 10.**

**Solution:**

Factorising 8788 into prime factors

Making them in groups of 3 equal factors, we are left with 2 x 2

2 x 2 i.e. 4 is to be divided.

Hence least number to be divided for getting perfect cube = 4 Ans.

Hope given RS Aggarwal Solutions Class 8 Chapter 4 Cubes and Cube Roots Ex 4A are helpful to complete your math homework.

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