Answered

Given the volume of a cube is 8 cubic meters, find

the distance from any vertex to the center point

inside the cube.

A1 m
B√2 m
C2√2 m
D2√3 m
E√3 m

Verified Answer :

\(V=8m^3\\\\V=a^3\\\\a^3=8m^3\to a=\sqrt[3]{8m^3}=2m\\\\diagonal\ of\ a\ cube:D=a\sqrt3\\\\D=2\sqrt3m\\\\Distance\ from\ any\ vertex\ to\ the\ center\ point\ inside\ the\ cube\\is\ a\ half\ of\ a\ diagonal:\\2\sqrt3:2=\sqrt3\ (m)\\\\Answer:E\)

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