Question

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

Answer 1

Answer:

75 cm.

Step-by-step explanation:

The longest tape required to measure the three dimensions of the room = HCF of 825, 675 and 450

Prime factorisations of 825, 675 and 450 are

825 = 3 x 5 x 5 x 11

675 = 3 x 3 x 3 x 5 x 5

450 = 2 x 3 x 3 x 5 x 5

Here, common factors are 3, 5 (two times).

∴ HCF of 825, 675 and 450 = 3 x 5 x 5 = 75

Hence, the required longest tape = 75 cm.

Note:

→ Level Class 6 NCERT Mathematics Ch-3 Playing With Numbers Ex- 3.7 Question No. 3.

Thank You!

I too study in class 6!