Question

The length, breadth and height of a hall
are 9.76 m, 7.93 m and 1.83 m
respectively. Find the longest rod which
can measure the three dimensions an
exact number of times.​

Answer 1

Answer :

• 156.16 m is the longest rod which can measure the three dimensions an exact number of times.

Given :

• Length of the hall = 9.76 m

• Breadth of the hall = 7.93 m

• Height of the hall = 1.83 m

To find :

• The longest rod which can measure the three dimensions an exact number of times =?

Step-by-step explanation:

L= 9.76 m 

b= 7.93 m

h = 1.83 m 

Now let's three combinations

Perimeter of the rectangle = Perimeter of the bottom and top  = 2 ( l+ b ) 

Substituting the values in the above formula, we get,

= 2( 9.76 + 7.93 ) 

= 2 × 17.69

= 35.38 m

Top = bottom = 35. 38

Now face one and three 

= 2( l + h) 

= 2 ( 9.76 + 1.83 ) 

= 2 × 11.59

= 23.18 m  

Now face two and forth 

= 2( b+ h) 

= 2 ( 7.93 + 1.83) 

= 2(9.76)

= 19.52 m

Now totally edge length 

= 2 ( 19.52 + 23.18 + 35.38) 

= 2 ( 78.08 ) 

= 156.16 m

•°• 156.16 m is the longest rod which can measure the three dimensions an exact number of times.