Question

The length, breadth and height of a room are 12m, 15m and 18m respectively. Determine
the length of longest stick that can measure all the dimensions of the room in exact number
of times?​

Answer 1

Answer :-

• 3m is the longest stick that can measure all the dimensions of the room in exact number of times.

Step-by-step explanation :-

To Find :-

• The longest stick that can measure all the dimensions of the room in exact number of times?

Solution :-

Given that,

• Length of cuboid = 12m
• Breadth of cuboid = 15m
• Height of cuboid = 18m

According the question,

First we need to find out the H.C.F [ Highest common factor ] of 12, 15 and 18, As the longest stick that can measure all length, breadth and height of the room in exact number of times is H.C.F,

Factors of 12: 2 × 2 × 3

Factors of 15: 5 × 3

Factors of 18: 3 × 2 × 3

Hence, here common number is 3.

Therefore, 3m is the longest stick that can measure all the dimensions of the room in exact number of times.