Math, asked by pragti1, 1 year ago

find the length of the longest rod that can be placed in a room 12m long 9m wide and 8m hight

Answers

Answered by mohanmanjhi5

317

Given length l = 12 m
breadth b = 9 m and height h = 8 m
Longest rod that can be placed in a room is nothing but its diagonal.
Length of diagonal of a cuboid = √(l2 + b2 + h2)
Length of longest rod = √(122 + 92 + 82) m
= √(144 + 81 + 64) m
= √289 m
= 17 m
Thus the length of the longest rod is 17 m

mohanmanjhi5: hw

mohanmanjhi5: 3+4+5 = 12
one side is 3/12 * 96cm = 24cm (the base)
another side is 4/12 * 96cm = 36cm (the height)

the other side is the hypotenuse, and we don't need to calculate it to find the area

The area is 1/2 * base * height = 384 square

Answered by Anonymous

140

Answer:

17m

Step-by-step explanation:

Given

length l = 12 m

breadth b = 9 m

height h = 8 m

Longest rod that can be placed in a room is nothing but its diagonal.

Length of diagonal of a cuboid = √(l2 + b2 + h2)

Length of longest rod = √(122 + 92 + 82) m

= √(144 + 81 + 64) m

= √289 m

= 17 m

hence the length of the longest rod is 17 m

Previous Question

Next Question