Q. 34.4( 96 Votes )

# 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.

Answer :

Length of the room = 825 cm

Breadth of the room = 675 cm

Height of the room = 450 cm

Longest tape = HCF of 825, 675 and 450

825 = 3 × 5 × 5 × 11

675 = 3 × 3 × 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

HCF = Product of common factors = 3 × 5 × 5 = 75 cm

**Therefore, the longest tape = 75 cm**

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