Question

6. The length, the breadth and the height
of a room are 425 cm, 375 cm and
325 cm respectively. What is the length
of the longest tape which can measure
the length, the breadth and the height
of the room exactly?



STEP BY STEP EXPLANATION PLEASE​

Answer 1

$\huge \bold \red{Answer}$

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 respectively.

Length of the room = 425 cm

Breadth of the room = 375 cm

Height of the room = 325 cm

Let us factorize all three given dimensions.

425 = 1, 5, 17, 25, 85, 425

375 = 1, 3, 5, 15, 25, 75, 125, 375

325 = 1, 5, 13, 25, 65, 325

So, H.C.F =25

H.C.F = 25 cm

Therefore, we need 25 cm the longest tape to measure the three dimensions of the room.

Answer 2

• Length = 425cm
• Breadth = 375cm
• Height = 325cm

Factorize all the 3 dimensions.
• 425 = 5*5*17
• 375 = 5*5*5*3
• 325 = 5*5*13

Common factors = 5*5
H.C.F = 5*5 = 25

Therefore we need 25cm the longest tape to measure 3 dimensions of the room.