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An insect fly start from one corner of a...

An insect fly start from one corner of a cubical room and reaches at diagonally opposite corner. The magnitude or displacement of the insect is `40sqrt(3)` ft. Find the volume of cube.

A

`64sqrt(3)ft^(3)`

B

`1600ft^(3)`

C

`64000ft^(3)`

D

None of these

Text Solution

Verified by Experts

(c) Here, `sqrt(3)a=40sqrt(3)ft`
`:. a=40ft`
`:.` Volume `=a^(3)=(40ft)^(3)=64000ft^(3)`
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