Question

A bee flies from one end of the cube of side 2 cm to diagonally opposite vertex of the same cube,
then the square of the distance traveled by the fly is
(A) 3 cm
(B) 36 cm
(C) 12 cm
(D) None of these
​

Answer 1

Answer:

Square of the distance traveled by fly = (C) = 12 cm²

Step-by-step explanation:

Side of the cube = a = 2 cm

To find the distance traveled, we have to find the mejor diagonal of the cube, i.e. diagonally opposite vertex distance.

Length of the diagonal (f) of the face of the cube is given by

f = √2a .... where 'a' is the lenght of side of teh cube.

Length of the mejor diagonal (d) is calculate by

d² = f² + a²

∴ d² = (√2a)² + a²

∴ d² = 2a² + a²

putting a=2, we get

∴ d² = 3×2²

∴ d² = 12

Distance traveld by fly = d

Then Square of the ditance traveled by the fly = d² = 12

∴ Answer is (C) 12