Math, asked by krishnakumariramiset, 10 months ago

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

Answered by VishalSharma01
148

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.

Answered by RvChaudharY50
85

||✪✪ 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.

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 = [ + + ]

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