Given the volume of a cube is 8 cubic meters, find the distance from any vertex to the center point inside the cube.
(A) 1 m
(B) √2 m
(C) 2√2 m
(D) 2√3 m
(E) √3 m
Answer (2)
V = 8 m 3 V = a 3 a 3 = 8 m 3 → a = 3 8 m 3 = 2 m d ia g o na l o f a c u b e : D = a 3 D = 2 3 m D i s t an ce f ro m an y v er t e x t o t h e ce n t er p o in t in s i d e t h e c u b e i s a ha l f o f a d ia g o na l : 2 3 : 2 = 3 ( m ) A n s w er : E
The length of a side of the cube is 2 m. The distance from any vertex to the center point inside the cube is √3 m. The correct answer is (E) √3 m.
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