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

$\bold{Answer:}$

Length = 8.25m

Breadth = 6.75m

Height = 4.50m

Let the 3 combinations,

=2(l+b)

=2(8.25+6.75)

=2 x 15

=30

The top and bottom are 30m

Second combination,

=2(l+h)

=2(8.25+4.50m)

=2 x 12.75

=25.5m

Third combination,

=2(b+h)

=2(6.25m+4.50m)

=2 x 10.75

=22.5m

Total length of the edge,

=2(22.5+22.5+30)

=2(45+30)

=2(75)

=150m


$\bold{Hope\:it\:helps\:you!}$

Answer 2

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:

• 150 m

Solution:

• Length of room = 8.25 m
• Breadth of room = 6.75 m
• Height of room = 4.50 m

Perimeter of length & breadth = 2(l + b)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(8.25m + 6.75m)

⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 2(15)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 30

Top and Button = 30 m

Perimeter of length & breadth = 2(l + b)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(8.25 + 4.50)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(12.75)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 25.5 m

Perimeter of breadth & height = 2(b + h)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(6.25m + 4.50m)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(10.75)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 22.5 m

Now, totally edge of Length

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(22.5 + 25.5 + 30)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(45 + 30)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2(75)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 150 m