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MATHS 1 Marks Question

Cubes and Cube Roots · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 30 questions.

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30 questions · timed · auto-graded

Question 11 Mark
Find the ones digit of the cube of each of the following number :
53
Answer
We have, 53
Ones digit of $53=3$
Now, cube of ones digit of $53=(3)^3=3 \times 3 \times 3=27$
Hence, ones digit in the cube of 53 is 7.
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Question 21 Mark
Find the ones digit of the cube of each of the following number :
5022
Answer
We have, 5022
Ones digit of $5022=2$
Now, cube of ones digit of $5022=2^3$ $=2 \times 2 \times 2=8$
So, ones digit in cube of 2 is 8.
Hence, ones digit in the cube of 5022 is 8.
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Question 31 Mark
Find the ones digit of the cube of each of the following number :
77
Answer
We have, 77
Ones digit of $77=7$
Now, cube of ones digit of $77=(7)^3=7 \times 7 \times 7=343$
Hence, ones digit in the cube of 77 is 3.
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Question 41 Mark
Find the ones digit of the cube of each of the following number :
1024
Answer
We have, 1024
Ones digit of $1024=4$
Now, cube of ones digit of $1024=(4)^3$ $=4 \times 4 \times 4=64$
Hence, ones digit in the cube of 1024 is 4.
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Question 51 Mark
Find the ones digit of the cube of each of the following number :
1005
Answer
We have, 1005
Ones digit of $1005=5$
Now, cube of ones digit of $1005=(5)^3$ $=5 \times 5 \times 5=125$
Hence, ones digit in the cube of 1005 is 5.
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Question 61 Mark
Find the ones digit of the cube of each of the following number :
149
Answer
We have, 149
Ones digit of $149=9$
Now, cube of the ones digit of $149=(9)^3$ $=9 \times 9 \times 9=729$
Hence, ones digit in the cube of 149 is 9.
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Question 71 Mark
Find the ones digit of the cube of each of the following number :
8888
Answer
We have, 8888
Ones digit of $8888=8$
Now, cube of the ones digit of $8888=(8)^3$ $=8 \times 8 \times 8=512$
Hence, ones digit in the cube of 8888 is 2.
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Question 81 Mark
Find the ones digit of the cube of each of the following number :
3331
Answer
We have, $3331=1$
Ones digit of $3331=1$
Now, cube of the ones digit of $3331=(1)^3$ $=1 \times 1 \times 1=1$
Hence, ones digit in the cube of 3331 is 1.
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Question 171 Mark
Find the cube root of each of the following number by prime factorisation method:
91125
Answer
The cube root of 91125 is 45.
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Question 181 Mark
Find the cube root of each of the following number by prime factorisation method:
175616
Answer
The cube root of 175616 is 56.
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Question 191 Mark
Find the cube root of each of the following number by prime factorisation method:
46656
Answer
The cube root of 46656 is 36.
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Question 201 Mark
Find the cube root of each of the following number by prime factorisation method:
110592
Answer
The cube root of 110592 is 48.
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Question 211 Mark
Find the cube root of each of the following number by prime factorisation method:
13824
Answer
The cube root of 13824 is 24.
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Question 221 Mark
Find the cube root of each of the following number by prime factorisation method:
15625
Answer
The cube root of 15625 is 25.
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Question 231 Mark
Find the cube root of each of the following number by prime factorisation method:
27000
Answer
The cube root of 27000 is 30.
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Question 241 Mark
Find the smallest number by which each of the following number must be divided to obtain a perfect cube :
704
Answer
The smallest number by which 704 should be divided to make it a perfect cube is 11.
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Question 251 Mark
Find the smallest number by which each of the following number must be divided to obtain a perfect cube :
192
Answer
The smallest number by which 192 should be divided to make it a perfect cube is 3.
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Question 261 Mark
Find the smallest number by which each of the following number must be divided to obtain a perfect cube :
135
Answer
The smallest number by which 135 should be divided to make it a perfect cube is 5.
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Question 271 Mark
Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube :
100
Answer
The smallest natural number by which 100 should be multiplied to make a perfect cube is 2 × 5 i.e. 10.
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Question 281 Mark
Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube :
675
Answer
The smallest number by which 675 should be multiplied to make a perfect cube is 5.
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Question 291 Mark
Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube :
72
Answer
The smallest number by which 72 should be multiplied to make a perfect cube is 3.
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Question 301 Mark
If one side of a cube is 15 m in length, then find its volume.
Answer

$\begin{aligned} \text {Volume } & =a^3 \\ & =(15)^3=15 \times 15 \times 15 \\ & =3375\text{ m}^3\end{aligned}$
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