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A spherical shaped sweet is placed inside a cube of side 5 cm such that the sweet just fits the cube. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet?
  • a)
    2.5 cm
  • b)
    5(√3 – 1) cm
  • c)
    5(√2 – 1) cm
  • d)
    2.5(√3 – 1) cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A spherical shaped sweet is placed inside a cube of side 5 cm such tha...
The question demands visualization. The shortest distance required to be travelled by the fly would be diagonally and be given by:-
Distance = 
= (Since diagonal of the cube is given as √3 x l)
= 2.5(√3 – 1) 
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Most Upvoted Answer
A spherical shaped sweet is placed inside a cube of side 5 cm such tha...
The shortest distance the fly must travel to reach the sweet is the length of the space diagonal of the cube.

The space diagonal of a cube can be found using the formula:
d = √(s^2 + s^2 + s^2), where s is the length of a side of the cube.

In this case, the length of a side of the cube is 5 cm.

Plugging in the value for s, we get:
d = √(5^2 + 5^2 + 5^2)
d = √(25 + 25 + 25)
d = √75
d ≈ 8.66 cm

Therefore, the shortest distance the fly must travel to reach the sweet is approximately 8.66 cm.
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A spherical shaped sweet is placed inside a cube of side 5 cm such that the sweet just fits the cube. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet?a)2.5 cmb)5(√3 – 1) cmc)5(√2 – 1) cmd)2.5(√3 – 1) cmCorrect answer is option 'D'. Can you explain this answer?
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