The length, breadth and height of a room are 8m25cm, 6m75cm and 4m50cm respectively. Find the length of the longest rod that can measure the three dimensions of room excatly?
Answers
Answer:
Step-by-step explanation:
Given :-
Length = 8 m 50 cm = 850 cm
Breadth = 6 m 75 cm = 675 cm
Height = 4 m 50 cm = 450 cm
To Find :-
Length of the longest rod.
Formula to be used :-
HCF of given dimensions
Solution :-
we have to find the HCF of 825, 675 and 450 .
825 = 5 × 5 × 3 × 11
675 = 5 × 5 × 3 × 3 × 3
450 = 2 × 3 × 3 × 5 × 5
HCF = 5 × 5 × 3
HCF = 75 cm
Hence, the length of the longest rod which can measure the three dimensions of the room exactly is 75 cm.
||✪✪ QUESTION ✪✪||
The length, breadth and height of a room are 8m25cm, 6m75cm and 4m50cm respectively. Find the length of the longest rod that can measure the three dimensions of room excatly ?
|| ★★ FORMULA USED ★★ ||
The longest rod that can measure all 3 dimensions of room exactly is their H.C.F.
|| ✰✰ ANSWER ✰✰ ||
Given That :-
➻ Length = 8m25cm = 825cm
➻ Breadth 6m75cm = 675cm
➻ Height = 4m50cm = 450cm.
Prime Factors :-
➼ 825 = 5 * 5 * 3 * 11
➼ 675 = 5 * 5 * 3 * 3 * 3
➼ 450 = 5 * 5 * 3 * 3 * 2
HCF :- The highest common factor (HCF) of two or more numbers is the largest number that is a factor of all of the given numbers.
➪ HCF = 5 * 5 * 3 = 75cm.
ஃ Length of Longest Rod that can measure the three dimensions of room excatly is 75cm.
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★★Extra Brainly Knowledge★★
In Question If it was asked To Find The Length of longest rod That can Fit inside The room , is nothing but its diagonal.
☛ Length of diagonal of a cuboid = √[L² + B² + H²]