Question

1. The length, breadth and height of a room
are 60cm,40cm and 50 cm. What should
be the greatest length of tale which can
measure the room exactly?​

Answer 1

Answer:

Step-by-step explanation:

The question is very ambiguous. If you are asking what is the longest rod that can be placed, it will be the diagonal which is equal to sqrt(60**2+40**2+50**2) = sqrt (3600+1600+2500) = sqrt 7700 = 10* sqrt 77 = 10*8.774 (approx) = 87.74

Corner to corner mesurement of the floor

=√(60²+40²)=√(3600+1600)=√5200

Distance from one corner of the floor to opposit corner of the top of the room =

√{(√5200)²+50²} = √(5200+2500) =√7700

= 87.75 cm

Answer 2

Answer:

Length of the room = 8m 25cm = 825 cm

Breadth of the room = 6m 75cm = 675 cm

Height of the room = 4m 50cm = 450 cm

Prime factorization of 825, 675 and 450 are as follows:

825 = 3×5×5×11

675 = 3×3×3×5×5

450 = 2×3×3×5×5

Common factors = 3×5×5

H.C.F. = 75

Hence, H.C.F. of 825, 675 and 450 is 75.

Therefore the length of the longest tap is 75 cm which can measure the three dimensions of the room exactly.