Please solve all the questions with steps
Answers
Answer:
(Given below, Hope it helps.)
Step-by-step explanation:
1. Cube of a number is multiplying it by itself for thrice.
a) Cube of 8 = 8*8*8 = 512
b) Cube of 9 = 9*9*9 = 729
c) Cube of 11 = 11*11*11 = 1331
d) Cube of 5 = 5*5*5 = 125
e) Cube of 25 = 25*25*25 = 15625
f) Cube of 12 = 12*12*12 = 1728
g) Cube of 21 = 21*21*21 = 9261
h) Cube of 19 = 19*19*19 = 6859
i) Cube of 15 = 15*15*15 = 3375
j) Cube of 22 = 22*22*22 = 10648
k) Cube of 7 = 7*7*7 = 343
l) Cube of 20 = 20*20*20 = 8000
2. Cube root of a number is finding the original number from which, the cube is originated.
(By prime factorization method)
i) Cube root of 343 = 7*7*7 = 7
ii) Cube root of 216 = 2*2*2*3*3*3 = 2*3 = 6
iii) Cube root of 729 = 3*3*3*3*3*3 = 3*3 = 9
iv) Cube root of 1000000 = 2*2*2*2*2*2*5*5*5*5*5*5 = 2*2*5*5 = 100
v) Cube root of 4096 = 2*2*2*2*2*2*2*2*2*2*2*2 = 2*2*2*2 = 16
vi) Cube root of 3*3*3*3*3*3*3*3*3 = 3*3*3 = 27
vii) Cube root of 592704 = 2*2*2*2*2*2*3*3*3*7*7*7 = 2*2*3*7 = 84
viii) Cube root of 778688 = 2*2*2*2*2*2*23*23*23 = 2*2*23 = 92
ix) Cube root of 17576 = 2*2*2*13*13*13 = 2*13 = 26
x) (Value given is wrong, considering 0.000216) Cube root of 0.000216 :-
0.000216 = 216/1000000 = 6*6*6/100*100*100 = 6/100 = 0.06