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Published on: 27/08/2019
Cubes and Cube Roots
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Questions + Answers key
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1.
The cube of a two digits number may be a three digits number.
2.
There is no perfect cube which ends with 8.
3.
If square of a number ends with 5, then its cube ends with 25.
4.
A perfect cube does not end with two zeroes.
5.
Cube of any odd number is even.
6.
If the digit in ones place of number is 6, then its cube will end with the digits:
6
3
2
none of these.
7.
If the digit in ones place of a number is 3, then the ending of its cube will be:
3
6
7
9
8.
If m is the cube root of n, then n is
m2
\(\sqrt { m } \).
\(\frac { n }{ 3 } \)
m3
9.
Which of the following number is a perfect cube?
243
512
392
10.
The one's digit of the cube of 23 is
3
6
7
11.
The least number by which 72 is divided to make it a perfect cube is _____
12.
The least number by which 72 is multiplied to make it a perfect cube is _____
13.
The least number by which 250 is multiplied to make it a perfect cube is _____
14.
The cube root of a number x is denoted by ______
15.
The cube of 90 will have _____ zeroes.
16.
There are _____ perfect cubes between 1 and 1000.
17.
If the digit in the ones place of a number is 3, then the digit in the ones place of its cube is______________
18.
Each prime factor of a perfect cube appear _________times in its cube
19.
\((\sqrt [ 3 ]{ 125 } )+(\sqrt [ 2 ]{ 625 } )^{ 3 }\)
20.
Cube root of 21952
21.
Cube of 26 is
22.
Which of the following is a perfect cube?
10,00,00, 225, 343, 270000
23.
ls the cube of an even number always even?
24.
Is the cube of a negative number always negative?
25.
Which 4-digit (least number is a perfect cube?
1.
(b)
2.
(b)
3.
(b)
4.
(a)
5.
(b)
6.
(a)
6
7.
(c)
7
8.
(d)
m3
9.
8640
10.
9
11.
∵ 72 = 2 x 2 x 2 x 3 x 3
So, dividing by 3 x 3 = 9, we get a perfect cube.
12.
72 = 2 x 2 x 2 x 3 x 3
So, multiplying by 3, we get a perfect cube.
13.
∵ 250 = 5 x 5 x 5 x 2 ∴ Least number = 2 x 2 =4
14.
The cube root of a number x is denoted by \(\sqrt [ 3 ]{ x } \) or x1/3.
15.
90 x 90 x 90 = 729000
16.
8, [8, 27, 64, 125, 216, 343, 512, 729 are 8 perfect cubes between 1 and 1000]
17.
( )
7
18.
( )
3
19.
( )
15630
20.
( )
28
21.
( )
17576
22.
( )
343
23.
( )
Yes
24.
( )
Yes
25.
( )
1000
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