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XAT 2023 — QA & DI Question 18

Basics of Mensuration/PrismEasy

A non-flying ant wants to travel from the bottom corner to the diagonally opposite top corner of a cubical room. The side of the room is 2 meters. What will be the minimum distance that the ant needs to travel? 

Answer & solution

  • A

    6 meters

  • B

    (2√2 + 2) meters

  • C

    2√3 meters

  • D

    2√6 meters

  • 2√5 meters

Solution

In a 2D plane, minimum distance between 2 points is the straight line joining these points.

We can convert the cubical room in a 2D plane as shown in the figure.

​​​​​​​

∴ Shortest route from A to F = 42+22 = 2√5.

Hence, option (e).

XAT 2023 QA & DI Q18: A non-flying ant wants to travel from the bottom corner to the diagonally opposite top corner of a cubical roo — Solution | TheCATExam