Question

The length, breadth and height of a box are 75cm, 85cm and 95cm respectively. Find the

longest tape which can measure the three dimensions of the room exactly.​

Answer 1

Answer:

3, 5 and 5 are the common prime factors. Therefore, 75 cm is the longest tape which can measure the three dimensions of the room exactly.

Answer 2

Answer:

We need 5 cm longest tape which can measure the three dimensions of the room exactly.

Step-by-step explanation:

Given:

• The length, breadth and height of a box are 75 cm, 85 cm and 95 cm respectively.

To find:

• The longest tape which can measure the three dimensions of the room exactly.

Solution:

To find the longest tape which can measure the three dimensions of the room exactly, we need to find the H.C.F of length, breadth and height of the box respectively by using prime factorization method.

Let's find out...

By using prime factorization method,

• 75 = 3 × 5 × 5
• 85 = 5 × 17
• 95 = 5 × 19

Here, 5 the common factors are

Therefore,

• H.C.F = 5

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