Question

the length breadth and height of a swimming pool are 625cm 545cm and 260cm. find the longest measuring tape which can measure the swimming pool exactly
Pls give the full answer​

Answer 1

Answer:

the length breadth and height of a swimming pool are 625cm 545cm and 260cm. find the longest measuring tape which can measure the swimming pool exactly

Pls give the full answer

Answer 2

Answer:

To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room respectively.

Length of the room = 825 cm

Breadth of the room = 675 cm

Height of the room = 450 cm

Let us factorize all three given dimensions.

825 = 3 × 5 × 5 × 11

675 = 3 × 3 × 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

Hence, 3, 5 and 5 are the common prime factors here.

So, H.C.F =3 × 5 × 5

H.C.F = 75 cm

Therefore, we need 75 cm the longest tape to measure the three dimensions of the room.