Question

The length , breadth and height of a room are 6m 30cm , 5m 85 cm and 3m 60cm respectively. What will be the greatest length of a tape which can measure the dimensions of the room exact number of times?

Answer 1

First of all we will take the HCF of all but, before that we will convert them in a similar unit :

6m 30cm =6 X 100 + 30

=630cm

5m 85cm =5 X 100 + 85

=585cm

3m 60cm =3 X 100 + 60

=360cm

Now, lets take the HCF :

HCF of 630cm, 585cm, 360cm

= 45 cm

Answer 2

Answer:

The length of the longest tape which can measure the three dimensions of the room exactly is 45 cm.

Step-by-step explanation:

• Length, breadth and height of a room are 6 m 30 cm, 5 m 85 cm and 3 m 60 cm, respectively.  

• Length = 6 m 30 cm =630 cm

       Breadth = 5 m 85 cm = 585 cm

       Height = 3 m 60 cm = 360 cm

• The longest rod which can measure the three dimensions of the room exactly is the Highest Common Factor of  630,585 and 360.

HCF of 630,585 and 360

630 =2× 3×3×5×7

585 = 3×3×5×13

360 = 2×2×2×3×3×5

• Hence the HCF is  = 3 × 3 × 5= 45

Therefore, the length of the longest tape which can measure the three dimensions of the room exactly is 45 cm.