Question

the length breadth and hight of a room are 825cm 675cm and 450cm respectively find the longest tapa which can measure the three dimensions of he room exactly
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Answer 1

Answer:

75cm

Step-by-step explanation:

FIRST FIND THE PRIME FACTORS OF THE NUMBERS:

Length = 825 cm = 3 × 5 × 5 × 11

Breadth = 675 cm = 3 × 3 × 3 × 5 × 5

Height = 450 cm = 2 × 3 × 3 × 5 × 5

HCF= 3X5X5=75

THEREFORE THE LONGEST TAPE NEEDED ID 75CM

Answer 2

Answer:

75 cm

Step-by-step explanation:

To find the tape which can measure the three dimensions of the room exactly we will have to use its prime factors using prime factorization method.

825=3*3*5*11

675=3*3*3*5*5

450=3*3*5*5*2

HCF=5*5*3*

=75 cm

Ans. The longest tape which can measure the three dimensions of the room exactly is 75 cm.