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ব্যাংক নিয়োগ
Combined Bank
Combined 9 Banks & 2 Financial Institution Post: Senior Officer(05-12-2025)
Combined 9 Banks & 2 Financial Institution Post: Senior Officer(05-12-2025)
The surface area of a cube is 96 square units. What is the length of the longest stick that can be placed inside the cube?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (4√3)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Given that,
Surface area of a cube = 96 square units
We know,
Surface area of a cube, S = 6a2
⇒ 6a2 = 96
⇒ a2 = 96/6
⇒ a2 = 16 = 42
∴ a = 4
The longest stick that can fit inside the cube runs along the space diagonal.
So the space diagonal of a cube, d = a√3 = 4√3 ; [a = 4]
So the length of the longest stick that can be placed inside the cube is 4√3 units.
