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RD Sharma solutions for Class 8 Maths chapter 4 - Cubes and Cube Roots

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RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

Mathematics for Class 8 by R D Sharma (2019-2020 Session) - Shaalaa.com

Chapter 4: Cubes and Cube Roots

Ex. 4.1Ex. 4.2Ex. 4.3Ex. 4.4Ex. 4.5

RD Sharma solutions for Class 8 Maths Chapter 4 Exercise 4.1 [Pages 7 - 9]

Ex. 4.1 | Q 1.1 | Page 7

Find the  cubes of the number  7 .

Ex. 4.1 | Q 1.2 | Page 7

Find the  cubes of the number 12 .

Ex. 4.1 | Q 1.3 | Page 7

Find the  cubes of the number 16 .

Ex. 4.1 | Q 1.4 | Page 7

Find the  cubes of the number 21 .

Ex. 4.1 | Q 1.5 | Page 7

Find the  cubes of the number 40 . 

Ex. 4.1 | Q 1.6 | Page 7

Find the  cubes of the number 55 .

Ex. 4.1 | Q 1.7 | Page 7

Find the  cubes of the number 100 . 

Ex. 4.1 | Q 1.8 | Page 7

Find the  cubes of the number 302 .

Ex. 4.1 | Q 1.9 | Page 7

Find the  cubes of the number 301 .

Ex. 4.1 | Q 2 | Page 8

Write the cubes of all natural numbers between 1 and 10 and verify the following statements:
(i) Cubes of all odd natural numbers are odd.
(ii) Cubes of all even natural numbers are even.

Ex. 4.1 | Q 3 | Page 8

Observe the following pattern:
                13 = 1
        13 + 23 = (1 + 2)2
13 + 23 + 33 = (1 + 2 + 3)2
Write the next three rows and calculate the value of 13 + 2+ 33 + ... + 9+ 103 by the above pattern.

Ex. 4.1 | Q 4 | Page 8

Write the cubes of 5 natural numbers which are multiples of 3 and verify the followings:
'The cube of a natural number which is a multiple of 3 is a multiple of 27'

Ex. 4.1 | Q 5 | Page 8

Write the cubes of 5 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, ...) and verify the following:
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1'.

Ex. 4.1 | Q 6 | Page 8

Write the cubes of 5 natural numbers of the form 3n + 2 (i.e. 5, 8, 11, ...) and verify the following:
'The cube of a natural number of the form 3n + 2 is a natural number of the same form i.e. when it is dividend by 3 the remainder is 2'.

Ex. 4.1 | Q 7 | Page 8

Write the cubes of 5 natural numbers of which are multiples of 7 and verify the following:
'The cube of a multiple of 7 is a multiple of 73'.

Ex. 4.1 | Q 8.01 | Page 8

Which of the following is  perfect cube? 

 64

Ex. 4.1 | Q 8.02 | Page 8

Which of the following is  perfect cube? 

216

Ex. 4.1 | Q 8.03 | Page 8

Which of the following is  perfect cube? 

243

Ex. 4.1 | Q 8.04 | Page 8

Which of the following is  perfect cube? 

1000

Ex. 4.1 | Q 8.05 | Page 8

Which of the following is  perfect cube? 

1728

Ex. 4.1 | Q 8.06 | Page 8

Which of the following is  perfect cube? 

3087

Ex. 4.1 | Q 8.07 | Page 8

Which of the following is  perfect cube? 

 4608

Ex. 4.1 | Q 8.08 | Page 8

Which of the following is  perfect cube? 

 106480

Ex. 4.1 | Q 8.09 | Page 8

Which of the following is  perfect cube? 

166375

Ex. 4.1 | Q 8.1 | Page 8

Which of the following is  perfect cube? 

 456533

 

Ex. 4.1 | Q 9 | Page 8

Which of the following are cubes of even natural numbers?
216, 512, 729, 1000, 3375, 13824

Ex. 4.1 | Q 10 | Page 8

Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859

Ex. 4.1 | Q 11.1 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

675

Ex. 4.1 | Q 11.2 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

1323

Ex. 4.1 | Q 11.3 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

 2560

Ex. 4.1 | Q 11.4 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

7803

Ex. 4.1 | Q 11.5 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

107811

Ex. 4.1 | Q 11.6 | Page 8

What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

 35721

Ex. 4.1 | Q 12.1 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

675

Ex. 4.1 | Q 12.2 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

8640

Ex. 4.1 | Q 12.3 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

1600

Ex. 4.1 | Q 12.4 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

8788

Ex. 4.1 | Q 12.5 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

7803

Ex. 4.1 | Q 12.6 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

107811

Ex. 4.1 | Q 12.7 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

 35721

Ex. 4.1 | Q 12.8 | Page 8

By which smallest number must the following number be divided so that the quotient is a perfect cube?

243000

Ex. 4.1 | Q 13 | Page 8

Prove that if a number is trebled then its cube is 27 times the cube of the given number.

 
Ex. 4.1 | Q 14.1 | Page 8

What happens to the cube of a number if the number is multiplied by 3?

Ex. 4.1 | Q 14.2 | Page 8

What happens to the cube of a number if the number is multiplied by  4?

Ex. 4.1 | Q 14.3 | Page 8

What happens to the cube of a number if the number is multiplied by  5?

Ex. 4.1 | Q 15 | Page 9

Find the volume of a cube, one face of which has an area of 64 m2.

 
Ex. 4.1 | Q 16 | Page 9

Find the volume of a cube whose surface area is 384 m2.

 
Ex. 4.1 | Q 17.1 | Page 9

Evaluate the following: 

\[\left\{ ( 5^2 + {12}^2 )^{1/2} \right\}^3\]

 

Ex. 4.1 | Q 17.2 | Page 9

Evaluate the following: 

\[\left\{ ( 6^2 + 8^2 )^{1/2} \right\}^3\]

 

Ex. 4.1 | Q 18 | Page 9

Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125

Ex. 4.1 | Q 19.1 | Page 9

Find the cubes of the following number by column method 35.

Ex. 4.1 | Q 19.2 | Page 9

Find the cubes of the following number by column method  56 .

Ex. 4.1 | Q 19.3 | Page 9

Find the cubes of the following number by column method 72 .

Ex. 4.1 | Q 20.1 | Page 9

Which of the following number is  not perfect cubes?

 64

Ex. 4.1 | Q 20.2 | Page 9

Which of the following number is  not perfect cubes? 

216

Ex. 4.1 | Q 20.3 | Page 9

Which of the following number is  not perfect cubes? 

243

Ex. 4.1 | Q 20.4 | Page 9

Which of the following number is  not perfect cubes? 

1728

Ex. 4.1 | Q 21.1 | Page 9

For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be  multiplied so that the product is a perfect cube.

Ex. 4.1 | Q 21.2 | Page 9

For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be divided so that the quotient is a perfect cube.

Ex. 4.1 | Q 22.1 | Page 9

By taking three different values of n verify the truth of the following statement:

If n is even , then n3 is also even.

Ex. 4.1 | Q 22.2 | Page 9

By taking three different values of n verify the truth of the following statement:

If n is odd, then n3 is also odd.

Ex. 4.1 | Q 22.3 | Page 9

By taking three different values of n verify the truth of the following statement:

If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.

Ex. 4.1 | Q 22.4 | Page 9

By taking three different values of n verify the truth of the following statement:

If a natural number n is of the form 3p + 2 then n3 also a number of the same type.

Ex. 4.1 | Q 23.01 | Page 9

Write true (T) or false (F) for the following statement:

392 is a perfect cube.

Ex. 4.1 | Q 23.02 | Page 9

Write true (T) or false (F) for the following statement:

8640 is not a perfect cube.

Ex. 4.1 | Q 23.03 | Page 9

Write true (T) or false (F) for the following statement:

 No cube can end with exactly two zeros.

Ex. 4.1 | Q 23.04 | Page 9

Write true (T) or false (F) for the following statement:

There is no perfect cube which ends in 4.

Ex. 4.1 | Q 23.05 | Page 9

Write true (T) or false (F) for the following statement:

 For an integer aa3 is always greater than a2.

Ex. 4.1 | Q 23.06 | Page 9

Write true (T) or false (F) for the following statement:

If a and b are integers such that a2 > b2, then a3 > b3.

Ex. 4.1 | Q 23.07 | Page 9

Write true (T) or false (F) for the following statement:

 If a divides b, then a3 divides b3.

Ex. 4.1 | Q 23.08 | Page 9

Write true (T) or false (F) for the following statement:

 If a2 ends in 9, then a3 ends in 7.

Ex. 4.1 | Q 23.09 | Page 9

Write true (T) or false (F) for the following statement:

 If a2 ends in 5, then a3 ends in 25.

Ex. 4.1 | Q 23.1 | Page 9

Write true (T) or false (F) for the following statement:

 If a2 ends in an even number of zeros, then a3 ends in an odd number of zeros.

RD Sharma solutions for Class 8 Maths Chapter 4 Exercise 4.2 [Page 13]

Ex. 4.2 | Q 1.1 | Page 13

Find the cube of  −11 .

 

Ex. 4.2 | Q 1.2 | Page 13

Find the cube of −12 .

Ex. 4.2 | Q 1.3 | Page 13

Find the cube of −21 .

Ex. 4.2 | Q 2.1 | Page 13

Which of the following number is cube of negative integer - 64 .

Ex. 4.2 | Q 2.2 | Page 13

Which of the following number is cube of negative integer - 1056 .

Ex. 4.2 | Q 2.3 | Page 13

Which of the following number is cube of negative integer - 2197.

Ex. 4.2 | Q 2.4 | Page 13

Which of the following number is cube of negative integer - 2744 .

Ex. 4.2 | Q 2.5 | Page 13

Which of the following number is cube of negative integer - 42875 .

Ex. 4.2 | Q 3.1 | Page 13

Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .

 

Ex. 4.2 | Q 3.2 | Page 13

Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −2744000 .

Ex. 4.2 | Q 4.01 | Page 13

Find the cube of \[\frac{7}{9}\] .

 

Ex. 4.2 | Q 4.02 | Page 13

Find the cube of \[- \frac{8}{11}\] . 

 

Ex. 4.2 | Q 4.03 | Page 13

Find the cube of \[\frac{12}{7}\] .

 

 

Ex. 4.2 | Q 4.04 | Page 13

Find the cube of \[- \frac{13}{8}\] .

 

Ex. 4.2 | Q 4.05 | Page 13

Find the cube of \[2\frac{2}{5}\] .

 

Ex. 4.2 | Q 4.06 | Page 13

Find the cube of:

\[3\frac{1}{4}\]

 

Ex. 4.2 | Q 4.07 | Page 13

Find the cube of 0.3 .

Ex. 4.2 | Q 4.08 | Page 13

Find the cube of  1.5 .

Ex. 4.2 | Q 4.09 | Page 13

Find the cube of  0.08 .

Ex. 4.2 | Q 4.1 | Page 13

Find the cube of 2.1 .

Ex. 4.2 | Q 5.1 | Page 13

Find which of the following number is  cube of rational number \[\frac{27}{64}\] .

 

Ex. 4.2 | Q 5.2 | Page 13

Find which of the following number is  cube of rational number \[\frac{125}{128}\] .

 

Ex. 4.2 | Q 5.3 | Page 13

Find which of the following number is  cube of rational number 0.001331 .

Ex. 4.2 | Q 5.4 | Page 13

Find which of the following number is  cube of rational number 0.04 .

RD Sharma solutions for Class 8 Maths Chapter 4 Exercise 4.3 [Pages 21 - 22]

Ex. 4.3 | Q 1.1 | Page 21

Find the cube rootsof the following number by successive subtraction of number:
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 64 .

Ex. 4.3 | Q 1.2 | Page 21

Find the cube root of the following number by successive subtraction of number:
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 512 .

Ex. 4.3 | Q 1.3 | Page 21

Find the cube root of the following number by successive subtraction of number:
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 1728 .

Ex. 4.3 | Q 2.1 | Page 21

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .

Ex. 4.3 | Q 2.2 | Page 21

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .

Ex. 4.3 | Q 2.3 | Page 21

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 792 . 

Ex. 4.3 | Q 2.4 | Page 21

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .

Ex. 4.3 | Q 3 | Page 21

Find the smallest number that must be subtracted from those of the numbers in question 2 which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?

Ex. 4.3 | Q 4.01 | Page 22

Find the cube root of the following natural number 343 .

Ex. 4.3 | Q 4.02 | Page 22

Find the cube root of the following natural number 2744 .

Ex. 4.3 | Q 4.03 | Page 22

Find the cube root of the following natural number 4913 .

Ex. 4.3 | Q 4.04 | Page 22

Find the cube root of the following natural number 1728 .

Ex. 4.3 | Q 4.05 | Page 22

Find the cube root of the following natural number 35937 .

Ex. 4.3 | Q 4.06 | Page 22

Find the cube root of the following natural number 17576 .

Ex. 4.3 | Q 4.07 | Page 22

Find the cube root of the following natural number 134217728 .

Ex. 4.3 | Q 4.08 | Page 22

Find the cube root of the following natural number 48228544 .

Ex. 4.3 | Q 4.09 | Page 22

Find the cube root of the following natural number 74088000 .

Ex. 4.3 | Q 4.1 | Page 22

Find the cube root of the following natural number 157464 .

Ex. 4.3 | Q 4.11 | Page 22

Find the cube root of the following natural number 1157625 .

Ex. 4.3 | Q 4.12 | Page 22

Find the cube root of the following natural number 33698267 .

Ex. 4.3 | Q 5 | Page 22

Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.

Ex. 4.3 | Q 6 | Page 22

Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.

 
Ex. 4.3 | Q 7 | Page 22

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also, find the cube root of the quotient so obtained.

Ex. 4.3 | Q 8 | Page 22

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Ex. 4.3 | Q 9 | Page 22

The volume of a cube is 9261000 m3. Find the side of the cube.

 

RD Sharma solutions for Class 8 Maths Chapter 4 Exercise 4.4 [Pages 30 - 31]

Ex. 4.4 | Q 1.1 | Page 30

Find the cube root of the following integer −125 .

Ex. 4.4 | Q 1.2 | Page 30

Find the cube root of the following integer  −5832 .

Ex. 4.4 | Q 1.3 | Page 30

Find the cube root of the following integer −2744000 .

Ex. 4.4 | Q 1.4 | Page 30

Find the cube root of the following integer −753571.

Ex. 4.4 | Q 1.5 | Page 30

Find the cube root of the following integer −32768 .

Ex. 4.4 | Q 2.1 | Page 30

Show that:  \[\sqrt[3]{27} \times \sqrt[3]{64} = \sqrt[3]{27 \times 64}\]

Ex. 4.4 | Q 2.2 | Page 30

Show that: \[\sqrt[3]{64 \times 729} = \sqrt[3]{64} \times \sqrt[3]{729}\]

Ex. 4.4 | Q 2.3 | Page 30

Show that: \[\sqrt[3]{- 125 \times 216} = \sqrt[3]{- 125} \times \sqrt[3]{216}\]

Ex. 4.4 | Q 2.4 | Page 30

Show that:\[\sqrt[3]{- 125 - 1000} = \sqrt[3]{- 125} \times \sqrt[3]{- 1000}\]

Ex. 4.4 | Q 3.1 | Page 30

Find the cube root of the following number  8 × 125 .

Ex. 4.4 | Q 3.2 | Page 30

Find the cube root of the following number −1728 × 216 .

Ex. 4.4 | Q 3.3 | Page 30

Find the cube root of the following number −27 × 2744 .

Ex. 4.4 | Q 3.4 | Page 30

Find the cube root of the following number −729 × −15625 .

Ex. 4.4 | Q 4.1 | Page 30

Evaluate  :  \[\sqrt[3]{4^3 \times 6^3}\]

 

Ex. 4.4 | Q 4.2 | Page 30

Evaluate: \[\sqrt[3]{8 \times 17 \times 17 \times 17}\]

Ex. 4.4 | Q 4.3 | Page 30

Evaluate: \[\sqrt[3]{700 \times 2 \times 49 \times 5}\]

Ex. 4.4 | Q 4.4 | Page 30

Evaluate:  \[125\sqrt[3]{\alpha^6} - \sqrt[3]{125 \alpha^6}\]

Ex. 4.4 | Q 5.1 | Page 30

Find the cube root of the following rational number \[\frac{- 125}{729}\] .

Ex. 4.4 | Q 5.2 | Page 30

Find the cube root of the following rational number \[\frac{10648}{12167}\] .

Ex. 4.4 | Q 5.3 | Page 30

Find the cube root of the following rational number \[\frac{- 19683}{24389}\] .

Ex. 4.4 | Q 5.4 | Page 30

Find the cube root of the following rational number  \[\frac{686}{- 3456}\] .

Ex. 4.4 | Q 5.5 | Page 30

Find the cube root of the following rational number \[\frac{- 39304}{- 42875}\] .

Ex. 4.4 | Q 6.1 | Page 30

Find the cube root of the following rational number 0.001728 .

Ex. 4.4 | Q 6.2 | Page 30

Find the cube root of the following rational number 0.003375 .

Ex. 4.4 | Q 6.3 | Page 30

Find the cube root of the following rational number 0.001 .

Ex. 4.4 | Q 6.4 | Page 30

Find the cube root of the following rational number  1.331 .

Ex. 4.4 | Q 7.1 | Page 30

Evaluate of the following

\[\sqrt[3]{27} + \sqrt[3]{0 . 008} + \sqrt[3]{0 . 064}\]

 

Ex. 4.4 | Q 7.2 | Page 30

Evaluate of the following

\[\sqrt[3]{1000} + \sqrt[3]{0 . 008} - \sqrt[3]{0 . 125}\]

Ex. 4.4 | Q 7.3 | Page 30

Evaluate of the following

\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9}\]

Ex. 4.4 | Q 7.4 | Page 30

Evaluate of the following

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt[]{\frac{0 . 09}{0 . 04}} - 1\]

Ex. 4.4 | Q 7.5 | Page 30

Evaluate of the following

\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13}\]

Ex. 4.4 | Q 8.1 | Page 30

Show that:

\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]

Ex. 4.4 | Q 8.2 | Page 30

Show that: 

\[\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}\]

Ex. 4.4 | Q 9.1 | Page 30

\[\sqrt[3]{125 \times 27} = 3 \times . . .\]

Ex. 4.4 | Q 9.2 | Page 30

\[\sqrt[3]{8 \times . . .} = 8\]

Ex. 4.4 | Q 9.3 | Page 30

\[\sqrt[3]{1728} = 4 \times . . .\]

Ex. 4.4 | Q 9.4 | Page 30

\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]

Ex. 4.4 | Q 9.5 | Page 30

\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]

Ex. 4.4 | Q 9.6 | Page 30

\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]

Ex. 4.4 | Q 9.7 | Page 30

\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]

Ex. 4.4 | Q 9.8 | Page 30

\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]

Ex. 4.4 | Q 9.9 | Page 30

\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]

Ex. 4.4 | Q 10 | Page 30

The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.

Ex. 4.4 | Q 11 | Page 30

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

 
Ex. 4.4 | Q 12 | Page 30

Find the side of a cube whose volume is\[\frac{24389}{216} m^3 .\]

 
Ex. 4.4 | Q 13.1 | Page 31

Evaluate:

\[\sqrt[3]{36} \times \sqrt[3]{384}\]

 

Ex. 4.4 | Q 13.2 | Page 31

Evaluate:

\[\sqrt[3]{96} \times \sqrt[3]{144}\]

Ex. 4.4 | Q 13.3 | Page 31

Evaluate: 

\[\sqrt[3]{100} \times \sqrt[3]{270}\]

 

Ex. 4.4 | Q 13.4 | Page 31

Evaluate: 

\[\sqrt[3]{121} \times \sqrt[3]{297}\]

 

Ex. 4.4 | Q 14.1 | Page 31

Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 3048625 = 3375 × 729 .

Ex. 4.4 | Q 14.2 | Page 31

Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 20346417 = 9261 × 2197 .

Ex. 4.4 | Q 14.3 | Page 31

Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that  210644875 = 42875 × 4913 .

Ex. 4.4 | Q 14.4 | Page 31

Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 57066625 = 166375 × 343 .

Ex. 4.4 | Q 15.1 | Page 31

Find the  units digit of the cube root of the following number 226981 .

Ex. 4.4 | Q 15.2 | Page 31

Find the  units digit of the cube root of the following number  13824 .

Ex. 4.4 | Q 15.3 | Page 31

Find the  units digit of the cube root of the following number 571787 .

Ex. 4.4 | Q 15.4 | Page 31

Find the  units digit of the cube root of the following number 175616 .

Ex. 4.4 | Q 16 | Page 31

Find the tens digit of the cube root of each of the numbers in Q. No. 15.

 

RD Sharma solutions for Class 8 Maths Chapter 4 Exercise 4.5 [Page 36]

Ex. 4.5 | Q 1 | Page 36

Making use of the cube root table, find the cube roots 7

 
Ex. 4.5 | Q 2 | Page 36

Making use of the cube root table, find the cube root 70 .

Ex. 4.5 | Q 3 | Page 36

Making use of the cube root table, find the cube root
700

Ex. 4.5 | Q 4 | Page 36

Making use of the cube root table, find the cube root
7000

Ex. 4.5 | Q 5 | Page 36

Making use of the cube root table, find the cube root
1100 .

Ex. 4.5 | Q 6 | Page 36

Making use of the cube root table, find the cube root
780 .

Ex. 4.5 | Q 7 | Page 36

Making use of the cube root table, find the cube root
7800

Ex. 4.5 | Q 8 | Page 36

Making use of the cube root table, find the cube root
1346.

Ex. 4.5 | Q 9 | Page 36

Making use of the cube root table, find the cube root
250.

Ex. 4.5 | Q 10 | Page 36

Making use of the cube root table, find the cube root
5112 .

Ex. 4.5 | Q 11 | Page 36

Making use of the cube root table, find the cube root
9800 .

Ex. 4.5 | Q 12 | Page 36

Making use of the cube root table, find the cube root
732 .

Ex. 4.5 | Q 13 | Page 36

Making use of the cube root table, find the cube root
7342 .

Ex. 4.5 | Q 14 | Page 36

Making use of the cube root table, find the cube root
133100 .

Ex. 4.5 | Q 15 | Page 36

Making use of the cube root table, find the cube root
37800 .

Ex. 4.5 | Q 16 | Page 36

Making use of the cube root table, find the cube root
0.27

Ex. 4.5 | Q 17 | Page 36

Making use of the cube root table, find the cube root
8.6 .

Ex. 4.5 | Q 18 | Page 36

Making use of the cube root table, find the cube root
0.86 .

Ex. 4.5 | Q 19 | Page 36

Making use of the cube root table, find the cube root
8.65 .

Ex. 4.5 | Q 20 | Page 36

Making use of the cube root table, find the cube root
7532 . 

Ex. 4.5 | Q 21 | Page 36

Making use of the cube root table, find the cube root
833 .

Ex. 4.5 | Q 22 | Page 36

Making use of the cube root table, find the cube root
34.2 .

Ex. 4.5 | Q 23 | Page 36

What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root. 

Chapter 4: Cubes and Cube Roots

Ex. 4.1Ex. 4.2Ex. 4.3Ex. 4.4Ex. 4.5

RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

Mathematics for Class 8 by R D Sharma (2019-2020 Session) - Shaalaa.com

RD Sharma solutions for Class 8 Mathematics chapter 4 - Cubes and Cube Roots

RD Sharma solutions for Class 8 Maths chapter 4 (Cubes and Cube Roots) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 8 by R D Sharma (2019-2020 Session) solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 8 Mathematics chapter 4 Cubes and Cube Roots are Introduction for Cubes, Some Interesting Patterns, Smallest Multiple that is a Perfect Cube, Cube Root Through Prime Factorisation Method, Cube Root of a Cube Number, Introduction of Cubes and Cube Root.

Using RD Sharma Class 8 solutions Cubes and Cube Roots exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in RD Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer RD Sharma Textbook Solutions to score more in exam.

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