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The edge length of a cube is 400 pm .its...

The edge length of a cube is `400` pm .its body diagonal would be

A

566 pm

B

600 pm

C

500 pm

D

693 pm

Text Solution

Verified by Experts

The correct Answer is:
D
`sqrt3a = 4r`
Body diagonal - 4r a = edge length
` r = (sqrt3)/(4) a " " p (sqrt3)/(4) xx 400 = 173 ` pm
Body diagonal ` = 4 xx 173 = 693 ` pm
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