Question

length, breadth and height of a room are 200 cm 350 cm and 420cm find the length of tape which is used to measure all dimension

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Answer 1

Correct Question :

• length, breadth and height of a room are 200 cm 350 cm and 420cm find the longest of tape which is used to measure all dimension of room

Answer :

• 50 is the longest of tape which is used to measure all dimension of room.

Given :

• Length , breadth and height of a room are 200cm , 450cm and 450 cm

To find :

• The length of tape which is used to measure all dimension of a room

Solution :

To find the length of tape which is used to measure all dimension of room , we need to find the hcf of length, breadth and height of the room

Here,

➨ Length of a room = 200cm

➨ Breadth of a room = 350cm

➨ Height of a room = 420cm

Now , we have to find the HCF of all dimensions (HCF)

➨ 200 = 2 × 2 × 2 × 5 × 5

➨ 350 = 2 × 5 × 5

➨ 420 = 2 × 2 × 3 × 5 × 7

Common factors = 2 , 5 and 5

➨ HCF of 2 , 5 and 5 = 2 × 5 × 5

➨ HCF = 50

Hence , 50 is the longest of tape which is used to measure all dimension of room.