Question

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly. with correcy explanation​

Answer 1

Answer:

75 cm tape

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.