In this page we have *cube and cube roots class 8 worksheet *. Hope you like them and do not forget to like , social share
and comment at the end of the page.

Find the cube roots by prime factorization method

(i) 15625

(ii) 2744

(iii) 125/2197

(iv) 5832

(v) 64000

(vi) 10648

(vii) 1331

(viii) 1728

Solution

Find the cubes of these numbers.

(i) .4

(ii) 8

(iii)15

(iv).02

(v) 1.1

(vi).011

Solution

Is 256 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

Solution

if $6^{n+2}=1296$, then $\sqrt[3]{n + 727}$ is

Solution

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.

Solution

If $\sqrt[3]{157464}=54$, then find the value

$\sqrt[3]{157.464}+ \sqrt[3]{.157464}+ \sqrt[3]{.000157464}$

Solution

(i)The least number by which 72 be multiplied to make it a perfect cube is _____________

(ii)If $8x^3=216$, then x ix ____

(iii) The cube of .5 is _____

(iv) There are _________ perfect cubes between 1 and 1000.

(v) The digit at the ones place of $23^3$ is ____

(vi) The cube of the even natural number is ____

Solution

(i)648 is not perfect cube?

(ii) 999 is a perfect cube

(iii)Square of a number is positive, so the cube of that number will also be positive

(iv) $125 \times 8 \times 27$ is a perfect cube

(v) For an integer p, $p^3$ is always greater than $p^2$

(vi)$.8^3=5.12$

Solution

Cube root of the expression $125^2$

(a)5

(b)25

(c)10

(d)125

which of these is a perfect cube

(a) 216

(b) 392

(b) 8640

(d) 243

which of these is not a perfect cube

(a)729

(b)2197

(c)-1331

(d)169

$\sqrt [3]{.027} $ is

(a).3

(b) .03

(c).94

(d).33

$\sqrt [3]{216 \times 27} $ is

(a)12

(b)18

(c)21

(d)36

If m is the cube root of n, then n is

(a)$\sqrt [3]{m} $

(b) 3m

(c) m/3

(d) $m^3$

$(1 \frac {3}{10})^3$ is

(a) $1 \frac {3}{1000}$

(b) $2 \frac {27}{1000}$

(c) $3 \frac {9}{1000}$

(d) $2 \frac {197}{1000}$

The volume of the cube is $5832m^3$ , the side is

(a) 18m

(b) 16 m

(c) 28 m

(d) 19m

$\sqrt [3]{\frac {8}{27}} + \sqrt [3]{\frac {1728}{1331}} $

(a) 22/33

(b) 16/11

(c) 11/16

(d) 11/3

which of the following expression is not a perfect cube

(a) 27 x 125 x 64

(b) 1331 x 125 x 8

(c) 15 x 8 x 25 x 9

(d) None of these

The surface area of a cube whose volume is $8m^3$

(a) $32m^2$

(b) $24m^2$

(c) $12m^2$

(d) None of these

A cuboid of dimensions 16m, 4m, 125m has been melted to form a cube. Find the side of the cube

(a) $20$m

(b) $16$m

(c) $5$m

(d) None of these

Solution

Solution

This Cube and cube roots class 8 worksheet is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feebback on the mail.

**Notes**-
**Assignments & NCERT Solutions**

Class 8 Maths Class 8 Science