Cubes and Cube Roots
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Cubes and Perfect Cubes
SubtopicCubes and Perfect Cubes under Cubes and Cube Roots for Grade 8 CBSE.
Preview questions (no answers)
- 1.
What is the unit digit of the cube of ?
A.2
B.4
C.6
D.8
- 2.
How many perfect cubes are there between and (inclusive)?
A.2
B.3
C.4
D.5
- 3.
What is the value of ?
A.1.44
B.1.728
C.17.28
D.14.4
- 4.
Find the cube of .
A.625
B.1250
C.15625
D.3125
- 5.
A student makes a cuboid of plasticine with sides and . How many such cuboids will be needed to form a cube?
A.15
B.75
C.225
D.45
- 6.
What is the sum of and ?
A.B.C.D. - 7.
What is the value of ?
A.B.C.D. - 8.
A three-digit number is a perfect cube. If the digits of are rearranged to form another distinct three-digit number which is also a perfect cube, what is the value of the sum ?
A.559
B.637
C.728
D.855
- 9.
Find the value of .
A.5/6
B.4/6
C.1/6
D.3/6
- 10.
Which of the following is the cube of an even natural number?
A.1331
B.4096
C.3375
D.4913
Download the worksheet for Cubes and Cube Roots - Cubes and Perfect Cubes to practice offline. It includes additional chapter-level practice questions.
Properties of Cube Numbers
SubtopicProperties of Cube Numbers under Cubes and Cube Roots for Grade 8 CBSE.
Preview questions (no answers)
- 1.
If a number is tripled, its cube becomes how many times the original cube?
A.B.C.D. - 2.
What is the units digit of the cube of ?
A.B.C.D. - 3.
The value of is:
A.B.C.D. - 4.
The cube of is:
A.B.C.D. - 5.
The difference between the cubes of two consecutive natural numbers is . What is the smaller of these two numbers?
A.B.C.D. - 6.
Which of the following is equal to if ?
A.B.C.D. - 7.
How many zeroes will be at the end of the cube of ?
A.B.C.D. - 8.
The difference between the cubes of two consecutive natural numbers is . What is the product of these two natural numbers?
A.B.C.D. - 9.
Calculate the cube of .
A.B.C.D. - 10.
How many zeros are at the end of the cube of ?
A.B.C.D.
Download the worksheet for Cubes and Cube Roots - Properties of Cube Numbers to practice offline. It includes additional chapter-level practice questions.
Finding Cube Roots by Prime Factorisation
SubtopicFinding Cube Roots by Prime Factorisation under Cubes and Cube Roots for Grade 8 CBSE.
Preview questions (no answers)
- 1.
The prime factorization of is . Its cube root is:
A.4
B.2
C.8
D.1
- 2.
Find .
A.17
B.19
C.34
D.51
- 3.
Calculate the value of .
A.20
B.40
C.10
D.80
- 4.
To make a perfect cube, we must divide it by:
A.5
B.13
C.25
D.65
- 5.
Calculate the value of through prime factorisation.
A.60
B.600
C.120
D.180
- 6.
What is the smallest number by which must be divided so that the quotient is a perfect cube?
A.7
B.2
C.3
D.1
- 7.
Smallest natural number to multiply to make it a perfect cube is:
A.3
B.5
C.15
D.9
- 8.
Find the sum of all the unique prime factors of the cube root of .
A.8
B.15
C.12
D.45
- 9.
Determine the value of .
A.12
B.120
C.144
D.1200
- 10.
Evaluate: .
A.B.C.D.
Download the worksheet for Cubes and Cube Roots - Finding Cube Roots by Prime Factorisation to practice offline. It includes additional chapter-level practice questions.