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Byju's Answer
Standard VIII
Mathematics
Cube Root Using Prime Factorisation
Find the side...
Question
Find the side of a cubical box whose volume is 2744 cm
3
.
Note: Numbers on slider are in cm.
14
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Solution
The correct option is
A
14
Let side of cube be x cm.
Given that volume =
x
3
=
2744
c
m
3
Prime factorising 2744 we get,
2
2744
2
1372
2
686
2
343
7
49
7
7
1
2744
=
2
×
2
×
2
×
7
×
7
×
7
=
2
3
×
7
3
∴
x
=
3
√
2744
=
3
√
2
3
×
7
3
x
=
2
×
7
=
14
So, side of the cubical box is 14 cm.
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