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Byju's Answer
Standard IX
Mathematics
Lateral surface area of a cube
The side of a...
Question
The side of a cubical chalk box is
4
c
m
. Find the total surface area of the chalk box a length of its diagonal.
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Solution
Surface area of cubical chalk box
=
6
a
2
where a = edge of cubical box
Here
a
=
4
c
m
Surface Area
=
6
×
(
4
)
2
=
96
c
m
2
Diagonal of a cube
=
√
3
a
Diagonal
=
√
3
×
4
=
4
√
3
c
m
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The total surface area of a cubical chalk box is 96 cm
2
. What is the length of its edge?