find the volume
of cube of side2a unit
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Length of side of cube =2a units
The length of diagonal of one face of the cube (d) is given by:
d
2
=(2a)
2
+(2a)
2
d
2
=4a
2
+4a
2
d
2
=8a
2
d=2
2
a
The length of diagonal of the cube (D) is given by:
D
2
=(2
2
a)
2
+(2a)
2
D
2
=8a
2
+4a
2
D
2
=12a
2
D=2
3
a
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