The length, breadth and height of a room are 4m, 6m 50 cm and 1m 75cm respectively. Find the length of the longest tape that can measure the three dimensions of the room?
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Answer:the longest rod would be its diagonal....its formula is root(a^2+b^2+c^2)....
where a,b,c are the sides of room...
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Hi mate!!
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.
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