Question

Question 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.

Class 6 - Math - Playing with Numbers Page 67

Answer 1

We have to find the H.C.F for finding the longest tape which can measure the three dimensions of the room exactly.
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Solution:

Measurement of the longest tape = H.C.F. of 825 cm, 675 cm and 450 cm.

Factors of 825 = 3 x 5 x 5 x 11
 
Factors of 675 = 3 x 5 x 5 x 3 x 3
 
Factors of 450 = 2 x 3 x 3 x 5 x 5

H.C.F. = 3 x 5 x 5 = 75 cm
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Therefore, the longest tape which can measure the three dimensions of the room exactly = 75 cm
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Hope this will help you...

Answer 2

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.