Solve this: Cubo d Cube ROO ts
5. Parikshit makes a Of of 5 2
5 How
will to form a
6. Find Of a is "86 cm2.
7. Which Of the following are cubes Of natural or
512 (it,) 2197 ou
(0 125
6859
4096
8. Write one'S digit of the of each of n
149 —
(v) 1024
of the following numbers:
-13
CUBE ROOTS
Answer following
If the Of a cube is 729 What be Of its side?
VVe tha t
volume Of = (Side)'
Let the Of side df the cube m,
then 729 = r'.
TO get the length Of the Side Of the We need to find a Whose cube is 72
finding a Whose cube is known, is called finding the cube
Thus. We that:
The cube root Of a n is that number Which when multiplied itself three
times &ives as the product.
Thus, if m is the cube root of numb-gr n, then
The a is by
As we know that, finding the square root is the inverse operation of squaring.
finding Cube root is the [If finding
Thus, we have 2 8 cube root (i.e. = 2)
73 = 343 cube root of 343 is 7 (i.e. 7)
Cube root through prime factorisaiion method
the of this chaptet-, We have that:
A cube can always be expresqd product Of Of prime factors.
Thus, to find the root of a given cube number by prime factorisation,
following protulurcv

5. volume of cube = side^{3}
5 cm × 5 cm× 2 cm = side ^{3}
5^{2 }× 2× y = 5^{3}× 2^{3}
y= 5^{3} × 2^{3 }/5^{2 }× 2
y = 5 × 2^{2
y = 20
he makes 20 cuboids to form a cube}