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Byju's Answer
Standard VIII
Mathematics
Total Surface Area of a Cuboid
In a cube, th...
Question
In a cube, the ratio of the longest diagonal to a diagonal of a base is
A
√
2
:
√
3
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B
√
6
:
2
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C
√
6
:
√
2
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D
√
3
:
√
2
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E
2:1
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Solution
The correct option is
B
√
3
:
√
2
In a cube let the length of side is
a
→
length of longest diagonal is
=
√
a
2
+
a
2
+
a
2
=
√
3
a
2
=
√
3
a
→
length of diagonal of a base is
=
√
a
2
+
a
2
=
√
2
a
2
=
√
2
a
Ratio
=
√
3
a
√
2
a
=
√
3
√
2
.
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