Question

Find length breadth and height of a box is 68cm 51cm and 34cm respectively. Find the longest tape which can measure the dimensions of the box exactly

Answer 1

Given :

• Length of the room = 68 cm.

• Breadth of the room = 51 cm.

• Height of the room = 34 cm

To find :

• The longest tape which can measure all the three dimensions of the room exactly =?

Step-by-step explanation :

It is Given that,

Length of the room = 68 cm.

Breadth of the room = 51 cm.

Height of the room = 35 cm.

Now,

We have to find the longest tape which can measure the length, breadth and height of room completely. So, we have to find the HCF (Highest Common Factor) of all three numbers.

So,

Prime factors of 68, 51 and 34 :-

→ 68 = 2 × 2 × 17

→ 51 = 3 × 17

→ 34 = 2 × 17

•°• HCF = 17

Therefore, the longest type which can measure all the three dimensions of the room exactly = 17 cm.

Answer 2

GIVEN :

• Length of the room = 68Cm
• Breadth of the room = 41Cm
• Height of the room = 34Cm

TO FIND :

• The longest tape can be used to measure all the three dimensions of the room = ?

Step-by-step explaination :

• LENGTH = 68Cm
• BREADTH = 51Cm
• HEIGHT = 35Cm

NOW, here first of all we will have to to find there HCF of all the three numbers so that we can get measure of longest tape,

PRIME FACTORS :

=> 68 = 2×2×17

=> 51 = 3×17

=> 34 = 2×17

PRIME FACTOR = 17

Hence, the measure of of longest tape that can measure the dimension of box exactly, the tape measures = 17Cm.