Question

the lenght,breadth,height of room are 825 cm,675cm,450cm respectively. find the longest tape which can measure the three dimensions of room exactly

Answer 1

the longest tape will be set diagonally so the formula of diagonal
$\sqrt{825 { }^{2} } + \sqrt 675 ^{2} + \sqrt 450 {}^{2}$

Answer 2

$\huge{Տolυτíօղ :- }$

ᴛʜᴇ ᴍᴇᴀsᴜʀᴇᴍᴇɴᴛ ᴏғ ʟᴏɴɢᴇsᴛ ᴛᴀᴘᴇ = ʜ.ᴄ.ғ ᴏғ 825 ᴄᴍ , 675 ᴄᴍ ᴀɴᴅ 450 ᴄᴍ.

fαctσr σf 825 = 3 × 5 × 5 × 11

fαctσr σf 675 = 3 × 5 × 5 × 3 × 3

fαctσr σf 450 = 2 × 3 × 3 × 5 × 5

h.c.f = 3 × 5 × 5

$\: \: \: \: \: \: \: = 75cm$

ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʟᴇɴɢᴛʜ ᴛᴀᴘᴇ ɪs 75 ᴄᴍ.