Question

the length breadth and height of a room are 6m 30cm, 5m 85cm and 3m 60cm respectively what will be the greatest length of a tape which can measures the dimensions of room exact num of times​

Answer 1

Answer:

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

Step-by-step explanation:

Given the length breadth and height of a room are 6m 30cm, 5m 85cm and 3m 60cm respectively what will be the greatest length of a tape which can measures the dimensions of room exact number of times

• So the measurement length breadth and height of a room are given. So we have
• Length = 6m 30 cm
• Breadth = 5 m 85 cm
• Height = 3 m 60 cm
• So we need to make the units similar.so we have 1 m = 100 cm
•   6m = 600 cm
•   5 m = 500 cm
•   3 m = 300 cm
• Now we get
• Length = 600 + 30 = 630 cm
• Breadth = 500 + 85 = 585 cm
• Height = 300 + 60 = 360 cm
• Now we need to find the hcf of 630,585 and 360
• The factors are
• 630 = 2 x 3 x 3 x 5 x 7
• 585 = 3 x 3 x 5 x 13
• 360 = 2 x 2 x 2 x 3 x 3 x 5
• So we have the highest common factor as 3 x 3 x 5 = 45

Therefore the greatest length of the tape is 45 cm

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