English

Find If the Following Number is a Perfect Cube? 243

Advertisements
Advertisements

Question

Find if the following number is a perfect cube?
243

Sum
Advertisements

Solution

243

3 243
3 81
3 27
3 9
3 3
  1

∵ 243 = 3 x 3 x 3 x 3 x 3
= (3 x 3 x 3) x 3 x 3
= 33 x 3 x 3
∴ 243 is not a perfect cube.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Cubes and Cube Roots - Exercise 4 (A) [Page 47]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 4 Cubes and Cube Roots
Exercise 4 (A) | Q 2.1 | Page 47

RELATED QUESTIONS

Find the  cubes of the number 40 . 


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.


Which of the following is  perfect cube? 

3087


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

7803


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

 35721


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.


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

If n is odd, then n3 is also odd.


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

 For an integer a, a3 is always greater than a2.


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

 If a divides b, then a3 divides b3.


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

 If a2 ends in 5, then a3 ends in 25.


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


Find the cube root of the following natural number 35937 .


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


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.


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


Find the least number by which 1323 must be multiplied so that the product is a perfect cube.


Find the cube-root of 64 


Find the smallest number by which 10985 should be divided so that the quotient is a perfect cube


Find two smallest perfect square numbers which when multiplied together gives a perfect cube number


`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×