Ex 3.7, 3 - Length, breadth and height of a room are 825 cm, 675 cm

Ex 3.7, 3 - Chapter 3 Class 6 Playing with Numbers - Part 2
Ex 3.7, 3 - Chapter 3 Class 6 Playing with Numbers - Part 3

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Transcript

Ex 3.7, 3 The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly. Given, Length of room = 825 cm Breadth of room = 675 cm Height of room = 450 cm We need to find Longest tape to measure length, breadth & height Since measuring tape will be smaller than 825, 675, 450 We find HCF ∴ Longest measuring tape = HCF of 825, 675, 450 HCF of 825, 675, 450 Therefore 450 = 2 × 3 × 3 × 5 × 5 675 = 3 × 3 × 3 × 5 × 5 825 = 3 × 5 × 5 × 11 So HCF = 3 × 5 × 5 = 75 ∴ Longest Measuring Tape = 75 cm

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.