Find the cube root of 75.
∛75 = ∛(4.217 x 4.217 x 4.217)
∛75 = 4.21716
What is the cube of double of ‘a’?
Double of a here a+a=2a
So cube of (2a)³=8a³
Which of the following is the cube root of 27000?
A natural number is said to be a perfect cube, if it is the cube of some ________.
A natural number is said to be a perfect cube if it is the cube of some natural number.
Example
8 = 2 x 2 x 2
8 = 2 ^{3}
8 is the perfect cube because it is a cube of 2 which is a natural number.
But 12 is not a perfect cube because it is not a cube of any natural numbers.
36 x K is a perfect cube number, then K = ______
6×6=36 and 36×6=216, which is the cube of 6.
Express 6^{3 }as the sum of odd numbers.
We know,
⇒ 31 + 33 + 35 + 37 + 39 + 41 = 216
And the cube of 6 is also 216
⇒ 6 × 6 × 6 = 216
Ones digit of cube of a number depends on the ________ of the number.
For example, 11*11*11=121*11
Where one’s digit depends on 1,
121*11=1331 where again one’s digit depends on 1.
Hence one’s digit of a perfect cube of a number depends on one’s digit.
The numbers 1, 8, 27... are ____________.
1×1×1 =1
2×2×2 = 8
3×3×3 = 27
4×4×4 = 64
5×5×5 = 125
Hence all are cubes
Ones place digit in the cube of 5832 is ______.
A number ending with 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 0 then it's cube ends with 1 , 8 , 7 , 4 , 5 , 6 , 3 , 2 , 0 respectively
⇒ One's digit of 5832= 2
⇒ Cube of 2=2^{3} = 8
So, the one's digit of cube of 5832=8
Find the prime factorisation of 175616.
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