Question

The length, breadth and height of a room are 8.25 m, 6.75 m and 4.50 m
respectively. Determine the longest tape which can measure the three dimensions
of the room exactly.​

Answer 1

⊕ANSWER⊕

l= 8.25 m 

b= 6.75 m

h = 4.50m 

Now let's three combinations

perimeter of the bottom and top 

= 2 ( l+ b ) 

= 2( 8.25 + 6.75 ) 

= 2 × 15 

= 30 m

top = bottom = 30 

Now face one and three 

= 2( l + h) 

= 2 ( 8.25 + 4.50 ) 

= 25.5 m 

Now face two and forth 

= 2( b+ h) 

= 2 ( 6.75 + 4.50 ) 

= 22.5 m

Now totally edge length 

= 2 ( 22.5 + 22.5 + 30 ) 

= 2 ( 45 + 30 ) 

= 2 ( 75 ) 

= 150 m

Answer 2

now totally edege lenth

150 m