Question

The lenght, breath and height of a room are 630cm, 585cm and 360cm respectively. What will be the greatest lenght of a tape which can measure the dimensions of room exact number of times?
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Answer 1

Answer :-

Given :-

The lenght, breath and height of a room are 630cm, 585cm and 360cm respectively.

length = 6m 30cm = 630 cm

breadth = 5m 85cm = 585 cm

height = 3m 60 cm = 360 cm

To find :-

What will be the greatest lenght of a tape which can measure the dimensions of room exact number of times?

now, 630 = 2 × 3 × 3 × 5 × 7

585 = 3 × 3 × 5 × 13

360 = 2 × 2 × 2 × 3 × 3 × 5

Therefore, the HCF of 630, 585 and 360 = 3 × 3 × 5 = 45

so, the greatest length of the tape which can measure the dimensions of the room exact number of times = 45 cm

Answer 2

Answer:

HELLO GUYS HERE IS YOUR ANSWER

Step-by-step explanation:

To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room, i.e. 825, 675 and 450 cms respectively.

Let us factorise all three given dimensions.

825 = 3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

Hence, 3, 5 and 5 are the common prime factors here.

So, H.C.F =3×5×5=75

Therefore, we need 75 cm longest tape to measure the three dimensions of the room.

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