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Cubes and Cube Roots
Find the one’s digit of the cube of each of the following numbers.
(i) 3331 (ii) 8888 (iii) 149 (iv) 1005
(v) 1024 (vi) 77 (vii) 5022 (viii) 53
|
Number |
Number ending in |
Unit’s digit in the cube |
|
|
(i) |
3331 |
1 |
1 |
|
(ii) |
8888 |
8 |
2 |
|
(iii) |
149 |
9 |
9 |
|
(iv) |
1005 |
5 |
5 |
|
(v) |
1024 |
4 |
4 |
|
(vi) |
77 |
7 |
3 |
|
(vii) |
5022 |
2 |
8 |
|
(viii) |
53 |
3 |
7 |
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Find the one’s digit of the cube of each of the following numbers.
(i) 3331 (ii) 8888 (iii) 149 (iv) 1005
(v) 1024 (vi) 77 (vii) 5022 (viii) 53
Consider the following pattern:
Express the following numbers as the sum of odd numbers using the above pattern?
(a) 63 (b) 83 (c) 73
Which of the following are perfect cubes?
1. 400 2. 3375 3. 8000 4. 15625
5. 9000 6. 6859 7. 2025 8. 10648
Check which of the following are perfect cubes.
(i) 2700 (ii) 16000 (iii) 64000 (iv) 900
(v) 125000 (vi) 36000 (vii) 21600 (viii) 10000
(ix) 27000000 (x) 1000
What pattern do you observe in these perfect cubes?
Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656
Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100
Show that —1728 is a perfect cube. Also, find the number whose cube is – 1728.
Is 216 a perfect cube? What is the number whose cube is 216?
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