Question

1. If the volume of cube is 91125, then find the side of cube.
2. Estimate the cube root of 110592.
3. Find the cube root of 32768 by prime factorisation method.​

Answer 1

(i) 64=2×2×2×2×2×2= 2

3

×2

3

=4

3

3

64

=4

(ii) 512=2×2×2×2×2×2×2×2×2×2×2×2

= 2

3

×2

3

×2

3

=8

3

3

512

=8

(iii) 10648= 2

3

×11

3

=22

3

3

10648

=22

(iv) 27000= 2

3

×3

3

×5

3

=30

3

3

27000

=30

(v) 15625= 5

3

×5

3

=25

3

3

15625

=25

(vi) 13824= 2

3

×2

3

×2

3

×3

3

=24

3

3

13824

=24

(vii) 110592= 2

3

×2

3

×2

3

×2

3

×3

3

=48

3

3

110592

=48

(viii) 46656= 2

3

×2

3

×3

3

×3

3

=36

3

3

46656

=36

(ix) 175616= 2

3

×2

3

×2

3

×7

3

=56

3

3

175616

=56

(x) 91125= 5

3

×3

3

×3

3

=45

3

3

91125

=45

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Answer 2

Answer:

value is equal to 91125 X 110592 and the root square root of 91125 x 110592 take out your to root and multiply them and again to method and take out the Cube cube of 110592 to and 9915 step by step explanation