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CBSE Class 8  >  Class 8 Notes  >  Mathematics (Maths)   >  Worksheet: Cubes & Cubes Roots

Worksheet: Cubes & Cubes Roots

Multiple Choice Questions

Q1: Cube root of the expression 3√1252
(a) 5
(b) 25
(c) 10
(d) 125

Q2: Which of these is a perfect cube
(a) 216
(b) 392
(c) 8640
(d) 243

Q3: Which of these is not a perfect cube
(a) 729
(b) 2197
(c) -1331
(d) 169

Q4: 3√.027 is
(a) .3
(b) .03
(c) .94
(d) .33

Q5: 3√216×27 is
(a) 12
(b) 18
(c) 21
(d) 36

Q6: If m is the cube root of n, then n is
(a)3√m
(b) 3m
(c) m/3
(d) m3

Q7: The one's digit of the cube of 53 is:

(a) 9

(b) 3

(c) 7

(d)  1

Q8: The volume of the cube is 5832m3 , the side is
(a) 18m
(b) 16 m
(c) 28 m
(d) 19m

Q9:Multiple Choice Questions
(a) 22/33
(b) 16/11
(c) 11/16
(d) 11/3

Q10: 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

Q11: The surface area of a cube whose volume is 8m3
(a) 32m2
(b) 24m2
(c) 12m2
(d) None of these

Q12: A cuboid of dimensions 16m, 4m, 125m has been melted to form a cube. Find the side of the cube
(a) 2020m
(b) 1616m
(c) 55m
(d) None of these

True and False

Q1: 648 is not perfect cube?

Q2: 999 is a perfect cube

Q3: The square of a number is positive, so the cube of that number will also be positive

Q4: 125×8×27125×8×27 is a perfect cube

Q5: For an integer p, p3 is always greater than p2

Q6: 83 = 5.12

Fill in the blanks

Q1: The least number by which 72 be multiplied to make it a perfect cube is _____________

Q2: If 8x3=216, then x ix ____

Q3: The cube of .5 is _____

Q4: There are _________ perfect cubes between 1 and 1000.

Q5: The digit at the ones place of 233 is ____

Q6: The cube of the even natural number is ____

Find the cube roots by prime factorization method

Q1: 15625

Q2: 2744

Q3: 125/2197

Q4: 5832

Q5: 64000

Answer the following questions

Q1: Is 256 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

Q2: if 6n+2=12966, then 3√n+727 is

Q3: Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.

Q4: If 3√157464=54, then find the value
3√157.464+3√.157464+3√.000157464

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Cubes & Cubes Roots

1. What are cubes in mathematics?
Ans.A cube is a three-dimensional geometric shape with six equal square faces. In mathematics, the cube of a number is found by multiplying the number by itself two more times (e.g., \( n^3 = n \times n \times n \)).
2. How do you calculate the cube of a number?
Ans.To calculate the cube of a number, you simply raise the number to the third power. For example, to find the cube of 4, you calculate \( 4^3 = 4 \times 4 \times 4 = 64 \).
3. What is a cube root?
Ans.A cube root of a number is a value that, when multiplied by itself twice, gives the original number. For instance, the cube root of 64 is 4 because \( 4 \times 4 \times 4 = 64 \). It is denoted as \( \sqrt[3]{n} \).
4. How do you find the cube root of a number?
Ans.To find the cube root of a number, you can use a calculator or raise the number to the power of \( \frac{1}{3} \). For example, to find the cube root of 27, you can calculate \( 27^{\frac{1}{3}} = 3 \).
5. What are some real-life applications of cubes and cube roots?
Ans.Cubes and cube roots have various real-life applications, including in architecture for calculating volume, in science for measuring substances, and in finance for determining growth rates where cubic relationships are involved.
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