CUBE ROOTS WORKSHEET

Cube roots worksheet :

Here we are going to see some practice questions on cube roots.

Cube roots worksheet - Practice questions

(1)  Find the cube-root of 512

(2)  Find the cube-root of 27 x 64

(3)  Find the cube-root of 125/216

(4)  Find the cube-root of -512/1000

(5)  Find the cube-root of 0.027

Question 1 :

Find the cube-root of 512

Solution : Hence cube-root of 512 is 8.

Question 2 :

Find the cube-root of 27 x 64

Solution :

=  ∛27 x 64

We can write 27 as 3 x 3 x  3, like wise 64 as 4 x 4 x 4.

=  ∛3 x 3 x 3 x 4 x 4 x 4

=  3 x 4

=  12

Question 3 :

Find the cube-root of 125/216

Solution :

Here we need to find the cube-root for a fraction. For that, split the numerator and denominator as much as possible.

=  ∛125/216

125  =  5 x 5 x 5 and 64  =  4 x 4 x 4

=  ∛(5 x 5 x 5) /(4 x 4 x 4)

Since we have cube-root, we need to take one for each three same terms.

=  5/4

Hence the cube root of 125/216 is 5/4.

Question 4 :

Find the cube-root of -512/1000

Solution :

Here we need to find the cube-root for a fraction. In the cube-root we have negative sign.

=  ∛512/1000

512  =  8 x 8 x 8 and 1000  =  10 x 10 x 10

= - ∛(8 x 8 x 8)/(10 x 10 x 10)

Since we have cube-root, we need to take one for each three same terms.

=  - 8/10

If it is possible, we may simplify

=  - 4/5

Hence the cube-root of ∛-512/1000 is -4/5.

Question 5 :

Find the cube-root of 0.027

Solution :

Here we need to find the cube-root for a decimal.

First let us convert the given decimal as fraction. For that, we have to multiply and divide by 1000.

0.027 x  (1000/1000)  =  27/1000

∛0.027  =  ∛27/1000

=  ∛(3 x 3 x 3)/(10 x 10 x 10)

=  3/10

Hence the cube-root of ∛0.027 is 3/10. After having gone through the stuff given above, we hope that the students would have understood "Cube roots worksheet".

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