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Cubes And Cube Roots

Question
CBSEENMA8003403
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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

Solution
 

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

 

Some More Questions From Cubes and Cube Roots Chapter

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?

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

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