Question

13. The length, breadth and height of a room
are 9m 12cm, 6m 24cm and 4m 32 cm.
respectively. What is the largest length of
the tape to measure the dimensions of the
room such that the tape is used an exact
number of times?​

Answer 1

Given :

• Length of the room = 9 m 12 cm

• Breadth of the room = 6 m 24 cm

• Height of the room = 4 m 32 cm

To find :

• The largest length of the tape to measure the dimensions of the room such that the tape is used an exact number of times = ?

Step-by-step explanation :

Length of the room = 9 m 12 cm Or 912 cm

Breadth of the room = 6 m 24 cm Or 624 cm

Height of the room = 4 m 32 cm Or 432 cm

We have to find the largest length of the tape to measure the dimensions of the room such that the tape is used an exact number of times of find HCF (Highest Common Factor) of the given dimensions.

HCF of 912, 624 and 432 -:

912 = 2 × 2 × 2 × 2 × 3 × 19

624 = 2 × 2 × 2 × 2 × 3 × 13

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

•°• HCF = 2 × 2 × 2 × 2 = 2⁴ × 3 = 16 × 3 = 48

Therefore, the largest length of the tape to measure the dimensions of the room such that the tape is used an exact number of times = 48 cm.

Answer 2

Answer:

Hey mate here is your answer

Step-by-step explanation:

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