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Standard VIII
Mathematics
Perspectives of Looking at a Solid
Question 8If ...
Question
Question 8
If the length of the diagonal of a cube is
6
√
3
c
m
, then the length of the edge of the cube is 3 cm.
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Solution
False.
Given, the length of the diagonal of a cube
=
6
√
3
c
m
.
Let the length of the edge (side) of the cube be "a" cm.
Then, diagonal of the cube
=
a
√
3
⇒
6
√
3
=
a
√
3
⇒
a
=
6
c
m
Hence, the edge length is 6 cm.
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