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Byju's Answer
Standard IX
Mathematics
Volume of a cube
If the total ...
Question
If the total surface area is equal to the volume of a cube, then find the side of the cube.
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Solution
Let
a
be the side of the cube.
Then total surface area
=
6
a
2
and its volume is
a
3
.
Then according to the problem ,
a
3
=
6
a
2
or,
a
2
(
a
−
6
)
=
0
or,
a
=
6
, as
a
=
0
is not possible (side cannot be equal to zero)
So the side of the cube is of
6
units.
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