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.
Answers
Answer:
156.16 m
Step-by-step explanation:
Answer : 156.16 m is the longest rod which can measure the three dimensions an exact number of times.
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.