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Question

If the length of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be :

 


Correct Answer
A
Equal to the side of the cube
Your Answer
B
√3 times the side of the cube
Your Answer
C
times the side of the cube
Your Answer
D
impossible to find from the given information

Solution

The correct option is C Equal to the side of the cube

The side length of a cube = AD = a

The diagonal length of a cube = AG = a3

DF = AG = CE = a3

The triangle formed was an equilateral triangle.

The circumradius of an equilateral triangle = s33

Therefore, the circumradius of that triangle = a333
                                                                     = Side of a cube

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