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 Page 1


Q u e s t i o n : 1
Evaluate:
i
8
3
ii
15
3
iii
21
3
iv
60
3
S o l u t i o n :
i
8
3
 = (8 ×8 ×8)
= 512.
Thus, the cube of 8 is 512.
ii
15
3 
= (15 ×15 ×15)
= 3375.
Thus, the cube of 15 is 3375.
iii
21
3 
= (21 ×21 ×21)
= 9261.
Thus, the cube of 21 is 9261.
iv
60
3 
= (60 ×60 ×60)
= 216000.
Thus, the cube of 60 is 216000.
Q u e s t i o n : 2
Evaluate:
i
1.2
3
ii
3.5
3
iii
0.8
3
iv
0.05
3
S o l u t i o n :
i
Page 2


Q u e s t i o n : 1
Evaluate:
i
8
3
ii
15
3
iii
21
3
iv
60
3
S o l u t i o n :
i
8
3
 = (8 ×8 ×8)
= 512.
Thus, the cube of 8 is 512.
ii
15
3 
= (15 ×15 ×15)
= 3375.
Thus, the cube of 15 is 3375.
iii
21
3 
= (21 ×21 ×21)
= 9261.
Thus, the cube of 21 is 9261.
iv
60
3 
= (60 ×60 ×60)
= 216000.
Thus, the cube of 60 is 216000.
Q u e s t i o n : 2
Evaluate:
i
1.2
3
ii
3.5
3
iii
0.8
3
iv
0.05
3
S o l u t i o n :
i
1.2
3
 = (1. 2 ×1. 2 ×1. 2)
= 1.728
Thus, the cube of 1.2 is 1.728.
ii
3.5
3
= (3. 5 ×3. 5 ×3. 5)
= 42.875
Thus, the cube of 3.5 is 42.875.
iii
0.8
3
= (0. 8 ×0. 8 ×0. 8)
= 0.512
Thus, the cube of 0.8 is 0.512.
iv
0.05
3
= (0. 05 ×0. 05 ×0. 05)
= 0.000125
Thus, the cube of 0.05 is 0.000125.
Q u e s t i o n : 3
Evaluate:
i
4
7
3
ii
10
11
3
iii
1
15
3
iv
1
3
10
3
S o l u t i o n :
i
 
(
4
7
)
3
=
(
4
7
×
4
( )
( )
( )
( )
Page 3


Q u e s t i o n : 1
Evaluate:
i
8
3
ii
15
3
iii
21
3
iv
60
3
S o l u t i o n :
i
8
3
 = (8 ×8 ×8)
= 512.
Thus, the cube of 8 is 512.
ii
15
3 
= (15 ×15 ×15)
= 3375.
Thus, the cube of 15 is 3375.
iii
21
3 
= (21 ×21 ×21)
= 9261.
Thus, the cube of 21 is 9261.
iv
60
3 
= (60 ×60 ×60)
= 216000.
Thus, the cube of 60 is 216000.
Q u e s t i o n : 2
Evaluate:
i
1.2
3
ii
3.5
3
iii
0.8
3
iv
0.05
3
S o l u t i o n :
i
1.2
3
 = (1. 2 ×1. 2 ×1. 2)
= 1.728
Thus, the cube of 1.2 is 1.728.
ii
3.5
3
= (3. 5 ×3. 5 ×3. 5)
= 42.875
Thus, the cube of 3.5 is 42.875.
iii
0.8
3
= (0. 8 ×0. 8 ×0. 8)
= 0.512
Thus, the cube of 0.8 is 0.512.
iv
0.05
3
= (0. 05 ×0. 05 ×0. 05)
= 0.000125
Thus, the cube of 0.05 is 0.000125.
Q u e s t i o n : 3
Evaluate:
i
4
7
3
ii
10
11
3
iii
1
15
3
iv
1
3
10
3
S o l u t i o n :
i
 
(
4
7
)
3
=
(
4
7
×
4
( )
( )
( )
( )
7
×
4
7
)
=
(
64
343
)
Thus, the cube of
(
4
7
)
 is
(
64
343
)
.
(ii)  
(
10
11
)
3
=
(
10
11
×
10
11
×
10
11
)
=
(
1000
1331
Page 4


Q u e s t i o n : 1
Evaluate:
i
8
3
ii
15
3
iii
21
3
iv
60
3
S o l u t i o n :
i
8
3
 = (8 ×8 ×8)
= 512.
Thus, the cube of 8 is 512.
ii
15
3 
= (15 ×15 ×15)
= 3375.
Thus, the cube of 15 is 3375.
iii
21
3 
= (21 ×21 ×21)
= 9261.
Thus, the cube of 21 is 9261.
iv
60
3 
= (60 ×60 ×60)
= 216000.
Thus, the cube of 60 is 216000.
Q u e s t i o n : 2
Evaluate:
i
1.2
3
ii
3.5
3
iii
0.8
3
iv
0.05
3
S o l u t i o n :
i
1.2
3
 = (1. 2 ×1. 2 ×1. 2)
= 1.728
Thus, the cube of 1.2 is 1.728.
ii
3.5
3
= (3. 5 ×3. 5 ×3. 5)
= 42.875
Thus, the cube of 3.5 is 42.875.
iii
0.8
3
= (0. 8 ×0. 8 ×0. 8)
= 0.512
Thus, the cube of 0.8 is 0.512.
iv
0.05
3
= (0. 05 ×0. 05 ×0. 05)
= 0.000125
Thus, the cube of 0.05 is 0.000125.
Q u e s t i o n : 3
Evaluate:
i
4
7
3
ii
10
11
3
iii
1
15
3
iv
1
3
10
3
S o l u t i o n :
i
 
(
4
7
)
3
=
(
4
7
×
4
( )
( )
( )
( )
7
×
4
7
)
=
(
64
343
)
Thus, the cube of
(
4
7
)
 is
(
64
343
)
.
(ii)  
(
10
11
)
3
=
(
10
11
×
10
11
×
10
11
)
=
(
1000
1331
)
Thus, the cube of
(
10
11
)
 is
(
1000
1331
)
.
(iii)  
(
1
15
)
3
=
(
1
15
×
1
15
×
1
15
)
=
(
1
3375
)
Thus, the cube of
(
1
15
)
 is
Page 5


Q u e s t i o n : 1
Evaluate:
i
8
3
ii
15
3
iii
21
3
iv
60
3
S o l u t i o n :
i
8
3
 = (8 ×8 ×8)
= 512.
Thus, the cube of 8 is 512.
ii
15
3 
= (15 ×15 ×15)
= 3375.
Thus, the cube of 15 is 3375.
iii
21
3 
= (21 ×21 ×21)
= 9261.
Thus, the cube of 21 is 9261.
iv
60
3 
= (60 ×60 ×60)
= 216000.
Thus, the cube of 60 is 216000.
Q u e s t i o n : 2
Evaluate:
i
1.2
3
ii
3.5
3
iii
0.8
3
iv
0.05
3
S o l u t i o n :
i
1.2
3
 = (1. 2 ×1. 2 ×1. 2)
= 1.728
Thus, the cube of 1.2 is 1.728.
ii
3.5
3
= (3. 5 ×3. 5 ×3. 5)
= 42.875
Thus, the cube of 3.5 is 42.875.
iii
0.8
3
= (0. 8 ×0. 8 ×0. 8)
= 0.512
Thus, the cube of 0.8 is 0.512.
iv
0.05
3
= (0. 05 ×0. 05 ×0. 05)
= 0.000125
Thus, the cube of 0.05 is 0.000125.
Q u e s t i o n : 3
Evaluate:
i
4
7
3
ii
10
11
3
iii
1
15
3
iv
1
3
10
3
S o l u t i o n :
i
 
(
4
7
)
3
=
(
4
7
×
4
( )
( )
( )
( )
7
×
4
7
)
=
(
64
343
)
Thus, the cube of
(
4
7
)
 is
(
64
343
)
.
(ii)  
(
10
11
)
3
=
(
10
11
×
10
11
×
10
11
)
=
(
1000
1331
)
Thus, the cube of
(
10
11
)
 is
(
1000
1331
)
.
(iii)  
(
1
15
)
3
=
(
1
15
×
1
15
×
1
15
)
=
(
1
3375
)
Thus, the cube of
(
1
15
)
 is
(
1
3375
)
(iv) 1
3
10
3
= 
(
13
10
)
3
=
(
13
10
×
13
10
×
13
10
)
=
(
2197
1000
)
Thus, the cube of 1
3
10
is 
(
2197
1000
)
. 
Q u e s t i o n : 4
Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the
given number.
i
125
ii
( )
( )
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Document Description: Cubes and Cube Roots for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation. The notes and questions for Cubes and Cube Roots have been prepared according to the Class 8 exam syllabus. Information about Cubes and Cube Roots covers topics like and Cubes and Cube Roots Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Cubes and Cube Roots.
Introduction of Cubes and Cube Roots in English is available as part of our Mathematics (Maths) Class 8 for Class 8 & Cubes and Cube Roots in Hindi for Mathematics (Maths) Class 8 course. Download more important topics related with notes, lectures and mock test series for Class 8 Exam by signing up for free. Class 8: Cubes and Cube Roots | Mathematics (Maths) Class 8
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