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

Answer 1

so, 825+675+450

because

1950

Answer 2

Answer:

Longest measuring tape = 75 cm

Step-by-step explanation:

Length = 825 cm

Breadth = 675 cm

Height = 450 cm.

The longest tape which can measure the three dimensions is HCF of 825, 675 and 450.

Factors of Length = 825 cm =  5 * 5 * 3 * 11       = 75 * 11

Factors of Breadth = 675 cm = 5 * 5 * 3 * 3 * 3  = 75 * 3 * 3

Factors of Height = 450 cm =   5 * 5 * 2 * 3 * 3  = 75 * 2 * 3

The HCF of the these three numbers is 75.

Thus 75 cm is the longest tape which can measure the three dimensions of the room.