Question

10. In each case, identify whether the cube of the given number is an even number or odd number (a) 2326 (b) 7678 (c) 5637 (e) 72371 (f) 48772 (g) 47645 (d) 13230 (h) 23224​

Answer 1

Answer:

(Refer Fig.1) 216=2×2×2×3×3×3

=(2)

3

×(3)

3

=(6)

3

 

(Refer Fig.2) 729=3×3×3×3×3×3

=(3)

3

×(3)

3

=(9)

3

 

(Refer Fig.3) 3375=5×5×5×3×3×3

=(5)

3

×(3)

3

=(15)

3

 

(Refer Fig.4) 8000=20×20×20=(20)

3

 

(Refer Fig.5) 125=5×5×5=(5)

3

 

(Refer Fig.6) 343=7×7×7=(7)

3

 

(Refer Fig.7) 4096=2×2×2×2×2×2×2×2×2×2×2×2

=(2)

3

×(2)

3

×(2)

3

×(2)

3

 

=(16)

3

 

(i) Cubes of an even number are 216,8000,4096

(ii) Cubes of an odd number are 729,3375,125,343,9261