Question

Q9. The length, breadth and height of a room are 9 m 75 cm, 8 m 25 cm and 6 m respectively. Determine the
longest tape which can measure the three dimensions of the room exactly.​

Answer 1

l=9.75m

b=8.25m

h=6m

longest tape= use the formula to find the diagonal
=approx. 14.11

Answer 2

Image

Step-by-step explanation:

Initially,The given values are 825cm, 675cm, 450cm.

Basically we need to find the length{in cm} of rod which is a factor of 825,675 and 450.

By using Prime Factorization:-

825=3x5²x11

675=3²x5²

450=2x3²x5²

From the above factorization,We got H.C.F⇒3x5²=75.

∴The Longest length rod Which measures the 3 dimensions of the room exactly will surely be "75cm Long".

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