Question

the length , breadth,and height of a room are 825cm,675cm,and 45cm. find the longest tape which can measure three dimension of the room exactly
step by step explanation​

Answer 1

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 = 825 cm

Breadth of the room = 675 cm

Height of the room = 450 cm

Let us factorize 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

H.C.F = 75 cm and