Q. 14.2( 99 Votes )
We know that, a3 = a × a × a
(55)3 = 55 × 55 × 55 = 166375
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By taking three different, values of n verify the truth of the following statements:
(i) If n is even, then n3 is also even.
(ii) If n is odd, then n3 is also odd.
(ii) If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.
(iv) If a natural number n is of the form 3p+2 then n3 also a number of the same type.RD Sharma - Mathematics
Which of the following numbers are not perfect cubes?
(iv) 1728RD Sharma - Mathematics
Find the cubes of the following numbers by column method:
(iii) 72RD Sharma - Mathematics
Write the units digit of the cube of each of the following numbers:
31, 109, 388, 4276, 5922, 77774, 44447, 125125125RD Sharma - Mathematics
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859RD Sharma - Mathematics
Find the volume of a cube whose surface area is 384m2.RD Sharma - Mathematics
Choose the correct answer:
Write the cubes 5 natural numbers of which are multiples of 7 and verity the following:
“The cube of a multiple of 7 is a multiple of 73.RD Sharma - Mathematics
Write the cubes 5 natural numbers of the from 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’RD Sharma - Mathematics
By what least number should 324 be multiplied to get a perfect cube?RS Aggarwal - Mathematics