find the length of longest pole that can be put in a cubical room of dimension 10 metre
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Answer:
the answer is 60 menter I hope you understand
The length of the longest pole that can be put it that cubical room is 10✓3 metre.
Given data :
Length of one side of the given cubical room is 10 metres.
• Now,the longest possible length in a three dimensional cubical space is it's diagonal.
• We can easily calculate the length of a cube's diagonal by the Pythagoras theorem.
• In this cass,
Hypotenuse will the cube's diagonal.
Base will be the cube's base's diagonal.
Height will be the height of the cube.
• Now,we have to calculate the length of the base diagonal by using the following formula :
Diagonal = ✓2(side)²
= ✓2(10)²
= ✓2×100
= 10✓2 m
• So,the length of the cube's diagonal
= ✓(base diagonal)²+(height)²
= ✓(10✓2)²+(10)²
= ✓200+100
= ✓300
= 10✓3
• So,the length of the longest possible pole in that cubical room is 10✓3 metres. (Answer)